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Finding the Third Proportional to 359,724 and 527,920

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Solution

The third proportional to 359,724 and 527,920 is: 774,759.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    359,724 : 527,920 = 527,920 : x
  2. Step 2: Convert to fraction form
    359,724/527,920 = 527,920/x
  3. Step 3: Cross multiply
    359,724x = 527,920 × 527,920
  4. Step 4: Simplify right side
    359,724x = 278,699,526,400
  5. Step 5: Solve for x
    x = 278,699,526,400/359,724
  6. Step 6: Final answer
    x = 774,759.33

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Why These Related Problems?

These problems maintain the same ratio (1.47) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.