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Finding the Third Proportional to 588.52 and 887.20

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Solution

The third proportional to 588.52 and 887.20 is: 1,337.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    588.52 : 887.20 = 887.20 : x
  2. Step 2: Convert to fraction form
    588.52/887.20 = 887.20/x
  3. Step 3: Cross multiply
    588.52x = 887.20 × 887.20
  4. Step 4: Simplify right side
    588.52x = 787,129.39
  5. Step 5: Solve for x
    x = 787,129.39/588.52
  6. Step 6: Final answer
    x = 1,337.48

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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.