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Finding the Third Proportional to 588.75 and 972.38

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Solution

The third proportional to 588.75 and 972.38 is: 1,605.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    588.75 : 972.38 = 972.38 : x
  2. Step 2: Convert to fraction form
    588.75/972.38 = 972.38/x
  3. Step 3: Cross multiply
    588.75x = 972.38 × 972.38
  4. Step 4: Simplify right side
    588.75x = 945,513.14
  5. Step 5: Solve for x
    x = 945,513.14/588.75
  6. Step 6: Final answer
    x = 1,605.97

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Why These Related Problems?

These problems maintain the same ratio (1.65) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.