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Finding the Third Proportional to 652.75 and 987.38

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Solution

The third proportional to 652.75 and 987.38 is: 1,493.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    652.75 : 987.38 = 987.38 : x
  2. Step 2: Convert to fraction form
    652.75/987.38 = 987.38/x
  3. Step 3: Cross multiply
    652.75x = 987.38 × 987.38
  4. Step 4: Simplify right side
    652.75x = 974,909.39
  5. Step 5: Solve for x
    x = 974,909.39/652.75
  6. Step 6: Final answer
    x = 1,493.54

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.