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Finding the Third Proportional to 588.38 and 910.88

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Solution

The third proportional to 588.38 and 910.88 is: 1,410.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    588.38 : 910.88 = 910.88 : x
  2. Step 2: Convert to fraction form
    588.38/910.88 = 910.88/x
  3. Step 3: Cross multiply
    588.38x = 910.88 × 910.88
  4. Step 4: Simplify right side
    588.38x = 829,693.27
  5. Step 5: Solve for x
    x = 829,693.27/588.38
  6. Step 6: Final answer
    x = 1,410.14

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Why These Related Problems?

These problems maintain the same ratio (1.55) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.