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Finding the Third Proportional to 463.85 and 870.12

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Solution

The third proportional to 463.85 and 870.12 is: 1,632.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    463.85 : 870.12 = 870.12 : x
  2. Step 2: Convert to fraction form
    463.85/870.12 = 870.12/x
  3. Step 3: Cross multiply
    463.85x = 870.12 × 870.12
  4. Step 4: Simplify right side
    463.85x = 757,103.92
  5. Step 5: Solve for x
    x = 757,103.92/463.85
  6. Step 6: Final answer
    x = 1,632.21

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Why These Related Problems?

These problems maintain the same ratio (1.88) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.