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Finding the Third Proportional to 561.66 and 962.44

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Solution

The third proportional to 561.66 and 962.44 is: 1,649.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    561.66 : 962.44 = 962.44 : x
  2. Step 2: Convert to fraction form
    561.66/962.44 = 962.44/x
  3. Step 3: Cross multiply
    561.66x = 962.44 × 962.44
  4. Step 4: Simplify right side
    561.66x = 926,285.94
  5. Step 5: Solve for x
    x = 926,285.94/561.66
  6. Step 6: Final answer
    x = 1,649.20

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Why These Related Problems?

These problems maintain the same ratio (1.71) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.