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Finding the Third Proportional to 327,193,560 and 715,955,544

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Solution

The third proportional to 327,193,560 and 715,955,544 is: 1,566,633,343.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    327,193,560 : 715,955,544 = 715,955,544 : x
  2. Step 2: Convert to fraction form
    327,193,560/715,955,544 = 715,955,544/x
  3. Step 3: Cross multiply
    327,193,560x = 715,955,544 × 715,955,544
  4. Step 4: Simplify right side
    327,193,560x = 512,592,340,984,335,936
  5. Step 5: Solve for x
    x = 512,592,340,984,335,936/327,193,560
  6. Step 6: Final answer
    x = 1,566,633,343.84

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Why These Related Problems?

These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.