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Finding the Third Proportional to 461.25 and 669.75

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Solution

The third proportional to 461.25 and 669.75 is: 972.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    461.25 : 669.75 = 669.75 : x
  2. Step 2: Convert to fraction form
    461.25/669.75 = 669.75/x
  3. Step 3: Cross multiply
    461.25x = 669.75 × 669.75
  4. Step 4: Simplify right side
    461.25x = 448,565.06
  5. Step 5: Solve for x
    x = 448,565.06/461.25
  6. Step 6: Final answer
    x = 972.50

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Why These Related Problems?

These problems maintain the same ratio (1.45) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.