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Finding the Third Proportional to 337,109 and 724,246

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Solution

The third proportional to 337,109 and 724,246 is: 1,555,972.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    337,109 : 724,246 = 724,246 : x
  2. Step 2: Convert to fraction form
    337,109/724,246 = 724,246/x
  3. Step 3: Cross multiply
    337,109x = 724,246 × 724,246
  4. Step 4: Simplify right side
    337,109x = 524,532,268,516
  5. Step 5: Solve for x
    x = 524,532,268,516/337,109
  6. Step 6: Final answer
    x = 1,555,972.31

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Why These Related Problems?

These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.