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Finding the Third Proportional to 239,920 and 524,902

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Solution

The third proportional to 239,920 and 524,902 is: 1,148,391.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    239,920 : 524,902 = 524,902 : x
  2. Step 2: Convert to fraction form
    239,920/524,902 = 524,902/x
  3. Step 3: Cross multiply
    239,920x = 524,902 × 524,902
  4. Step 4: Simplify right side
    239,920x = 275,522,109,604
  5. Step 5: Solve for x
    x = 275,522,109,604/239,920
  6. Step 6: Final answer
    x = 1,148,391.59

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Why These Related Problems?

These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.