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Finding the Third Proportional to 363.08 and 532.87

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Solution

The third proportional to 363.08 and 532.87 is: 782.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    363.08 : 532.87 = 532.87 : x
  2. Step 2: Convert to fraction form
    363.08/532.87 = 532.87/x
  3. Step 3: Cross multiply
    363.08x = 532.87 × 532.87
  4. Step 4: Simplify right side
    363.08x = 283,947.96
  5. Step 5: Solve for x
    x = 283,947.96/363.08
  6. Step 6: Final answer
    x = 782.06

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Why These Related Problems?

These problems maintain the same ratio (1.47) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.