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Finding the Third Proportional to 337,098.38 and 730,329.75

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Solution

The third proportional to 337,098.38 and 730,329.75 is: 1,582,272.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    337,098.38 : 730,329.75 = 730,329.75 : x
  2. Step 2: Convert to fraction form
    337,098.38/730,329.75 = 730,329.75/x
  3. Step 3: Cross multiply
    337,098.38x = 730,329.75 × 730,329.75
  4. Step 4: Simplify right side
    337,098.38x = 533,381,543,735.06
  5. Step 5: Solve for x
    x = 533,381,543,735.06/337,098.38
  6. Step 6: Final answer
    x = 1,582,272.66

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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.