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Finding the Third Proportional to 458 and 669

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Solution

The third proportional to 458 and 669 is: 977.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    458 : 669 = 669 : x
  2. Step 2: Convert to fraction form
    458/669 = 669/x
  3. Step 3: Cross multiply
    458x = 669 × 669
  4. Step 4: Simplify right side
    458x = 447,561
  5. Step 5: Solve for x
    x = 447,561/458
  6. Step 6: Final answer
    x = 977.21

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Why These Related Problems?

These problems maintain the same ratio (1.46) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.