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Finding the Third Proportional to 389,618.50 and 527,979.75

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Solution

The third proportional to 389,618.50 and 527,979.75 is: 715,475.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    389,618.50 : 527,979.75 = 527,979.75 : x
  2. Step 2: Convert to fraction form
    389,618.50/527,979.75 = 527,979.75/x
  3. Step 3: Cross multiply
    389,618.50x = 527,979.75 × 527,979.75
  4. Step 4: Simplify right side
    389,618.50x = 278,762,616,410.06
  5. Step 5: Solve for x
    x = 278,762,616,410.06/389,618.50
  6. Step 6: Final answer
    x = 715,475.82

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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.