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Finding the Third Proportional to 412.44 and 560.69

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Solution

The third proportional to 412.44 and 560.69 is: 762.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    412.44 : 560.69 = 560.69 : x
  2. Step 2: Convert to fraction form
    412.44/560.69 = 560.69/x
  3. Step 3: Cross multiply
    412.44x = 560.69 × 560.69
  4. Step 4: Simplify right side
    412.44x = 314,370.47
  5. Step 5: Solve for x
    x = 314,370.47/412.44
  6. Step 6: Final answer
    x = 762.23

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Why These Related Problems?

These problems maintain the same ratio (1.36) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.