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Finding the Third Proportional to 324,920 and 724,549

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Solution

The third proportional to 324,920 and 724,549 is: 1,615,693.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    324,920 : 724,549 = 724,549 : x
  2. Step 2: Convert to fraction form
    324,920/724,549 = 724,549/x
  3. Step 3: Cross multiply
    324,920x = 724,549 × 724,549
  4. Step 4: Simplify right side
    324,920x = 524,971,253,401
  5. Step 5: Solve for x
    x = 524,971,253,401/324,920
  6. Step 6: Final answer
    x = 1,615,693.87

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Why These Related Problems?

These problems maintain the same ratio (2.23) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.