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Finding the Third Proportional to 585 and 626

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Solution

The third proportional to 585 and 626 is: 669.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    585 : 626 = 626 : x
  2. Step 2: Convert to fraction form
    585/626 = 626/x
  3. Step 3: Cross multiply
    585x = 626 × 626
  4. Step 4: Simplify right side
    585x = 391,876
  5. Step 5: Solve for x
    x = 391,876/585
  6. Step 6: Final answer
    x = 669.87

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Why These Related Problems?

These problems maintain the same ratio (1.07) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.