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Finding the Third Proportional to 296.43 and 458.02

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Solution

The third proportional to 296.43 and 458.02 is: 707.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    296.43 : 458.02 = 458.02 : x
  2. Step 2: Convert to fraction form
    296.43/458.02 = 458.02/x
  3. Step 3: Cross multiply
    296.43x = 458.02 × 458.02
  4. Step 4: Simplify right side
    296.43x = 209,780.33
  5. Step 5: Solve for x
    x = 209,780.33/296.43
  6. Step 6: Final answer
    x = 707.68

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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.