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Finding the Third Proportional to 675.42 and 1,061.44

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Solution

The third proportional to 675.42 and 1,061.44 is: 1,668.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    675.42 : 1,061.44 = 1,061.44 : x
  2. Step 2: Convert to fraction form
    675.42/1,061.44 = 1,061.44/x
  3. Step 3: Cross multiply
    675.42x = 1,061.44 × 1,061.44
  4. Step 4: Simplify right side
    675.42x = 1,126,649.57
  5. Step 5: Solve for x
    x = 1,126,649.57/675.42
  6. Step 6: Final answer
    x = 1,668.07

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Why These Related Problems?

These problems maintain the same ratio (1.57) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.