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Finding the Third Proportional to 456.75 and 496.13

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Solution

The third proportional to 456.75 and 496.13 is: 538.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    456.75 : 496.13 = 496.13 : x
  2. Step 2: Convert to fraction form
    456.75/496.13 = 496.13/x
  3. Step 3: Cross multiply
    456.75x = 496.13 × 496.13
  4. Step 4: Simplify right side
    456.75x = 246,140.02
  5. Step 5: Solve for x
    x = 246,140.02/456.75
  6. Step 6: Final answer
    x = 538.89

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Why These Related Problems?

These problems maintain the same ratio (1.09) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.