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Finding the Third Proportional to 472,278,330 and 740,798,217

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Solution

The third proportional to 472,278,330 and 740,798,217 is: 1,161,988,521.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    472,278,330 : 740,798,217 = 740,798,217 : x
  2. Step 2: Convert to fraction form
    472,278,330/740,798,217 = 740,798,217/x
  3. Step 3: Cross multiply
    472,278,330x = 740,798,217 × 740,798,217
  4. Step 4: Simplify right side
    472,278,330x = 548,781,998,310,379,072
  5. Step 5: Solve for x
    x = 548,781,998,310,379,072/472,278,330
  6. Step 6: Final answer
    x = 1,161,988,521.28

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These problems maintain the same ratio (1.57) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.