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Finding the Third Proportional to 340,489,997.72 and 733,200,908.06

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Solution

The third proportional to 340,489,997.72 and 733,200,908.06 is: 1,578,852,756.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    340,489,997.72 : 733,200,908.06 = 733,200,908.06 : x
  2. Step 2: Convert to fraction form
    340,489,997.72/733,200,908.06 = 733,200,908.06/x
  3. Step 3: Cross multiply
    340,489,997.72x = 733,200,908.06 × 733,200,908.06
  4. Step 4: Simplify right side
    340,489,997.72x = 537,583,571,583,674,560
  5. Step 5: Solve for x
    x = 537,583,571,583,674,560/340,489,997.72
  6. Step 6: Final answer
    x = 1,578,852,756.87

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Why These Related Problems?

These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.