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Finding the Third Proportional to 351,604,749 and 517,244,134.50

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Solution

The third proportional to 351,604,749 and 517,244,134.50 is: 760,915,475.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    351,604,749 : 517,244,134.50 = 517,244,134.50 : x
  2. Step 2: Convert to fraction form
    351,604,749/517,244,134.50 = 517,244,134.50/x
  3. Step 3: Cross multiply
    351,604,749x = 517,244,134.50 × 517,244,134.50
  4. Step 4: Simplify right side
    351,604,749x = 267,541,494,674,654,080
  5. Step 5: Solve for x
    x = 267,541,494,674,654,080/351,604,749
  6. Step 6: Final answer
    x = 760,915,475.22

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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.