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Finding the Third Proportional to 587.88 and 908.88

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Solution

The third proportional to 587.88 and 908.88 is: 1,405.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    587.88 : 908.88 = 908.88 : x
  2. Step 2: Convert to fraction form
    587.88/908.88 = 908.88/x
  3. Step 3: Cross multiply
    587.88x = 908.88 × 908.88
  4. Step 4: Simplify right side
    587.88x = 826,053.77
  5. Step 5: Solve for x
    x = 826,053.77/587.88
  6. Step 6: Final answer
    x = 1,405.15

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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.