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Finding the Third Proportional to 337,329 and 724,685

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Solution

The third proportional to 337,329 and 724,685 is: 1,556,843.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    337,329 : 724,685 = 724,685 : x
  2. Step 2: Convert to fraction form
    337,329/724,685 = 724,685/x
  3. Step 3: Cross multiply
    337,329x = 724,685 × 724,685
  4. Step 4: Simplify right side
    337,329x = 525,168,349,225
  5. Step 5: Solve for x
    x = 525,168,349,225/337,329
  6. Step 6: Final answer
    x = 1,556,843.17

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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.