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Finding the Third Proportional to 347,438 and 754,654

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Solution

The third proportional to 347,438 and 754,654 is: 1,639,149.03

Step by Step Solution

  1. Step 1: Write the proportion equation
    347,438 : 754,654 = 754,654 : x
  2. Step 2: Convert to fraction form
    347,438/754,654 = 754,654/x
  3. Step 3: Cross multiply
    347,438x = 754,654 × 754,654
  4. Step 4: Simplify right side
    347,438x = 569,502,659,716
  5. Step 5: Solve for x
    x = 569,502,659,716/347,438
  6. Step 6: Final answer
    x = 1,639,149.03

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Why These Related Problems?

These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.