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Finding the Third Proportional to 351,604,770 and 517,244,166

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Solution

The third proportional to 351,604,770 and 517,244,166 is: 760,915,522.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    351,604,770 : 517,244,166 = 517,244,166 : x
  2. Step 2: Convert to fraction form
    351,604,770/517,244,166 = 517,244,166/x
  3. Step 3: Cross multiply
    351,604,770x = 517,244,166 × 517,244,166
  4. Step 4: Simplify right side
    351,604,770x = 267,541,527,261,035,552
  5. Step 5: Solve for x
    x = 267,541,527,261,035,552/351,604,770
  6. Step 6: Final answer
    x = 760,915,522.45

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Why These Related Problems?

These problems maintain the same ratio (1.47) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.