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Finding the Third Proportional to 586.62 and 878.50

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Solution

The third proportional to 586.62 and 878.50 is: 1,315.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    586.62 : 878.50 = 878.50 : x
  2. Step 2: Convert to fraction form
    586.62/878.50 = 878.50/x
  3. Step 3: Cross multiply
    586.62x = 878.50 × 878.50
  4. Step 4: Simplify right side
    586.62x = 771,765.68
  5. Step 5: Solve for x
    x = 771,765.68/586.62
  6. Step 6: Final answer
    x = 1,315.62

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.