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Finding the Third Proportional to 389,620 and 527,982

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Solution

The third proportional to 389,620 and 527,982 is: 715,479.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    389,620 : 527,982 = 527,982 : x
  2. Step 2: Convert to fraction form
    389,620/527,982 = 527,982/x
  3. Step 3: Cross multiply
    389,620x = 527,982 × 527,982
  4. Step 4: Simplify right side
    389,620x = 278,764,992,324
  5. Step 5: Solve for x
    x = 278,764,992,324/389,620
  6. Step 6: Final answer
    x = 715,479.17

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These problems maintain the same ratio (1.36) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.