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Finding the Third Proportional to 463.13 and 714.56

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Solution

The third proportional to 463.13 and 714.56 is: 1,102.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    463.13 : 714.56 = 714.56 : x
  2. Step 2: Convert to fraction form
    463.13/714.56 = 714.56/x
  3. Step 3: Cross multiply
    463.13x = 714.56 × 714.56
  4. Step 4: Simplify right side
    463.13x = 510,599.57
  5. Step 5: Solve for x
    x = 510,599.57/463.13
  6. Step 6: Final answer
    x = 1,102.51

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Why These Related Problems?

These problems maintain the same ratio (1.54) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.