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Finding the Third Proportional to 410.25 and 630.75

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Solution

The third proportional to 410.25 and 630.75 is: 969.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    410.25 : 630.75 = 630.75 : x
  2. Step 2: Convert to fraction form
    410.25/630.75 = 630.75/x
  3. Step 3: Cross multiply
    410.25x = 630.75 × 630.75
  4. Step 4: Simplify right side
    410.25x = 397,845.56
  5. Step 5: Solve for x
    x = 397,845.56/410.25
  6. Step 6: Final answer
    x = 969.76

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Why These Related Problems?

These problems maintain the same ratio (1.54) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.