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Finding the Third Proportional to 340,373.75 and 733,263.25

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Solution

The third proportional to 340,373.75 and 733,263.25 is: 1,579,660.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    340,373.75 : 733,263.25 = 733,263.25 : x
  2. Step 2: Convert to fraction form
    340,373.75/733,263.25 = 733,263.25/x
  3. Step 3: Cross multiply
    340,373.75x = 733,263.25 × 733,263.25
  4. Step 4: Simplify right side
    340,373.75x = 537,674,993,800.56
  5. Step 5: Solve for x
    x = 537,674,993,800.56/340,373.75
  6. Step 6: Final answer
    x = 1,579,660.58

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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.