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Finding the Third Proportional to 445.50 and 669.52

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Solution

The third proportional to 445.50 and 669.52 is: 1,006.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    445.50 : 669.52 = 669.52 : x
  2. Step 2: Convert to fraction form
    445.50/669.52 = 669.52/x
  3. Step 3: Cross multiply
    445.50x = 669.52 × 669.52
  4. Step 4: Simplify right side
    445.50x = 448,251.17
  5. Step 5: Solve for x
    x = 448,251.17/445.50
  6. Step 6: Final answer
    x = 1,006.18

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.