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Finding the Third Proportional to 410.56 and 661.44

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Solution

The third proportional to 410.56 and 661.44 is: 1,065.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    410.56 : 661.44 = 661.44 : x
  2. Step 2: Convert to fraction form
    410.56/661.44 = 661.44/x
  3. Step 3: Cross multiply
    410.56x = 661.44 × 661.44
  4. Step 4: Simplify right side
    410.56x = 437,499.57
  5. Step 5: Solve for x
    x = 437,499.57/410.56
  6. Step 6: Final answer
    x = 1,065.61

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Why These Related Problems?

These problems maintain the same ratio (1.61) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.