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Finding the Third Proportional to 337,224,657 and 505,836,951.38

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Solution

The third proportional to 337,224,657 and 505,836,951.38 is: 758,755,375.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    337,224,657 : 505,836,951.38 = 505,836,951.38 : x
  2. Step 2: Convert to fraction form
    337,224,657/505,836,951.38 = 505,836,951.38/x
  3. Step 3: Cross multiply
    337,224,657x = 505,836,951.38 × 505,836,951.38
  4. Step 4: Simplify right side
    337,224,657x = 255,871,021,376,354,112
  5. Step 5: Solve for x
    x = 255,871,021,376,354,112/337,224,657
  6. Step 6: Final answer
    x = 758,755,375.88

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.