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Finding the Third Proportional to 463.75 and 686.88

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Solution

The third proportional to 463.75 and 686.88 is: 1,017.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    463.75 : 686.88 = 686.88 : x
  2. Step 2: Convert to fraction form
    463.75/686.88 = 686.88/x
  3. Step 3: Cross multiply
    463.75x = 686.88 × 686.88
  4. Step 4: Simplify right side
    463.75x = 471,797.27
  5. Step 5: Solve for x
    x = 471,797.27/463.75
  6. Step 6: Final answer
    x = 1,017.35

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Why These Related Problems?

These problems maintain the same ratio (1.48) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.