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Finding the Third Proportional to 456.57 and 688.18

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Solution

The third proportional to 456.57 and 688.18 is: 1,037.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    456.57 : 688.18 = 688.18 : x
  2. Step 2: Convert to fraction form
    456.57/688.18 = 688.18/x
  3. Step 3: Cross multiply
    456.57x = 688.18 × 688.18
  4. Step 4: Simplify right side
    456.57x = 473,596.66
  5. Step 5: Solve for x
    x = 473,596.66/456.57
  6. Step 6: Final answer
    x = 1,037.28

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.