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Finding the Third Proportional to 457.84 and 657.49

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Solution

The third proportional to 457.84 and 657.49 is: 944.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    457.84 : 657.49 = 657.49 : x
  2. Step 2: Convert to fraction form
    457.84/657.49 = 657.49/x
  3. Step 3: Cross multiply
    457.84x = 657.49 × 657.49
  4. Step 4: Simplify right side
    457.84x = 432,295.98
  5. Step 5: Solve for x
    x = 432,295.98/457.84
  6. Step 6: Final answer
    x = 944.21

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Why These Related Problems?

These problems maintain the same ratio (1.44) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.