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Finding the Third Proportional to 457.13 and 675.56

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Solution

The third proportional to 457.13 and 675.56 is: 998.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    457.13 : 675.56 = 675.56 : x
  2. Step 2: Convert to fraction form
    457.13/675.56 = 675.56/x
  3. Step 3: Cross multiply
    457.13x = 675.56 × 675.56
  4. Step 4: Simplify right side
    457.13x = 456,384.69
  5. Step 5: Solve for x
    x = 456,384.69/457.13
  6. Step 6: Final answer
    x = 998.38

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Why These Related Problems?

These problems maintain the same ratio (1.48) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.