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Finding the Third Proportional to 452.51 and 658.14

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Solution

The third proportional to 452.51 and 658.14 is: 957.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    452.51 : 658.14 = 658.14 : x
  2. Step 2: Convert to fraction form
    452.51/658.14 = 658.14/x
  3. Step 3: Cross multiply
    452.51x = 658.14 × 658.14
  4. Step 4: Simplify right side
    452.51x = 433,151.29
  5. Step 5: Solve for x
    x = 433,151.29/452.51
  6. Step 6: Final answer
    x = 957.22

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Why These Related Problems?

These problems maintain the same ratio (1.45) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.