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Finding the Third Proportional to 688.50 and 939.52

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Solution

The third proportional to 688.50 and 939.52 is: 1,282.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    688.50 : 939.52 = 939.52 : x
  2. Step 2: Convert to fraction form
    688.50/939.52 = 939.52/x
  3. Step 3: Cross multiply
    688.50x = 939.52 × 939.52
  4. Step 4: Simplify right side
    688.50x = 882,689.61
  5. Step 5: Solve for x
    x = 882,689.61/688.50
  6. Step 6: Final answer
    x = 1,282.05

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Why These Related Problems?

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