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Finding the Third Proportional to 532.50 and 588

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Solution

The third proportional to 532.50 and 588 is: 649.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    532.50 : 588 = 588 : x
  2. Step 2: Convert to fraction form
    532.50/588 = 588/x
  3. Step 3: Cross multiply
    532.50x = 588 × 588
  4. Step 4: Simplify right side
    532.50x = 345,744
  5. Step 5: Solve for x
    x = 345,744/532.50
  6. Step 6: Final answer
    x = 649.28

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Why These Related Problems?

These problems maintain the same ratio (1.10) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.