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Finding the Third Proportional to 337,081.50 and 730,417.50

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Solution

The third proportional to 337,081.50 and 730,417.50 is: 1,582,732.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    337,081.50 : 730,417.50 = 730,417.50 : x
  2. Step 2: Convert to fraction form
    337,081.50/730,417.50 = 730,417.50/x
  3. Step 3: Cross multiply
    337,081.50x = 730,417.50 × 730,417.50
  4. Step 4: Simplify right side
    337,081.50x = 533,509,724,306.25
  5. Step 5: Solve for x
    x = 533,509,724,306.25/337,081.50
  6. Step 6: Final answer
    x = 1,582,732.14

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