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Finding the Third Proportional to 461.75 and 714.88

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Solution

The third proportional to 461.75 and 714.88 is: 1,106.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    461.75 : 714.88 = 714.88 : x
  2. Step 2: Convert to fraction form
    461.75/714.88 = 714.88/x
  3. Step 3: Cross multiply
    461.75x = 714.88 × 714.88
  4. Step 4: Simplify right side
    461.75x = 511,046.27
  5. Step 5: Solve for x
    x = 511,046.27/461.75
  6. Step 6: Final answer
    x = 1,106.76

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Why These Related Problems?

These problems maintain the same ratio (1.55) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.