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Finding the Third Proportional to 476.75 and 701.13

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Solution

The third proportional to 476.75 and 701.13 is: 1,031.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    476.75 : 701.13 = 701.13 : x
  2. Step 2: Convert to fraction form
    476.75/701.13 = 701.13/x
  3. Step 3: Cross multiply
    476.75x = 701.13 × 701.13
  4. Step 4: Simplify right side
    476.75x = 491,576.27
  5. Step 5: Solve for x
    x = 491,576.27/476.75
  6. Step 6: Final answer
    x = 1,031.10

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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.