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Finding the Third Proportional to 359,716.50 and 527,910.75

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Solution

The third proportional to 359,716.50 and 527,910.75 is: 774,748.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    359,716.50 : 527,910.75 = 527,910.75 : x
  2. Step 2: Convert to fraction form
    359,716.50/527,910.75 = 527,910.75/x
  3. Step 3: Cross multiply
    359,716.50x = 527,910.75 × 527,910.75
  4. Step 4: Simplify right side
    359,716.50x = 278,689,759,965.56
  5. Step 5: Solve for x
    x = 278,689,759,965.56/359,716.50
  6. Step 6: Final answer
    x = 774,748.34

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