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Finding the Third Proportional to 359,722 and 527,917

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Solution

The third proportional to 359,722 and 527,917 is: 774,754.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    359,722 : 527,917 = 527,917 : x
  2. Step 2: Convert to fraction form
    359,722/527,917 = 527,917/x
  3. Step 3: Cross multiply
    359,722x = 527,917 × 527,917
  4. Step 4: Simplify right side
    359,722x = 278,696,358,889
  5. Step 5: Solve for x
    x = 278,696,358,889/359,722
  6. Step 6: Final answer
    x = 774,754.84

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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.