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Finding the Third Proportional to 337,086.56 and 730,306.13

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Solution

The third proportional to 337,086.56 and 730,306.13 is: 1,582,225.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    337,086.56 : 730,306.13 = 730,306.13 : x
  2. Step 2: Convert to fraction form
    337,086.56/730,306.13 = 730,306.13/x
  3. Step 3: Cross multiply
    337,086.56x = 730,306.13 × 730,306.13
  4. Step 4: Simplify right side
    337,086.56x = 533,347,036,212.52
  5. Step 5: Solve for x
    x = 533,347,036,212.52/337,086.56
  6. Step 6: Final answer
    x = 1,582,225.74

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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.