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Finding the Third Proportional to 359,718 and 527,913

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Solution

The third proportional to 359,718 and 527,913 is: 774,751.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    359,718 : 527,913 = 527,913 : x
  2. Step 2: Convert to fraction form
    359,718/527,913 = 527,913/x
  3. Step 3: Cross multiply
    359,718x = 527,913 × 527,913
  4. Step 4: Simplify right side
    359,718x = 278,692,135,569
  5. Step 5: Solve for x
    x = 278,692,135,569/359,718
  6. Step 6: Final answer
    x = 774,751.71

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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.