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Finding the Third Proportional to 457 and 637

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Solution

The third proportional to 457 and 637 is: 887.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    457 : 637 = 637 : x
  2. Step 2: Convert to fraction form
    457/637 = 637/x
  3. Step 3: Cross multiply
    457x = 637 × 637
  4. Step 4: Simplify right side
    457x = 405,769
  5. Step 5: Solve for x
    x = 405,769/457
  6. Step 6: Final answer
    x = 887.90

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Why These Related Problems?

These problems maintain the same ratio (1.39) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.