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Finding the Third Proportional to 458.16 and 701.16

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Solution

The third proportional to 458.16 and 701.16 is: 1,073.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    458.16 : 701.16 = 701.16 : x
  2. Step 2: Convert to fraction form
    458.16/701.16 = 701.16/x
  3. Step 3: Cross multiply
    458.16x = 701.16 × 701.16
  4. Step 4: Simplify right side
    458.16x = 491,620.09
  5. Step 5: Solve for x
    x = 491,620.09/458.16
  6. Step 6: Final answer
    x = 1,073.04

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Why These Related Problems?

These problems maintain the same ratio (1.53) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.