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Finding the Third Proportional to 656.44 and 1,031.48

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Solution

The third proportional to 656.44 and 1,031.48 is: 1,620.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    656.44 : 1,031.48 = 1,031.48 : x
  2. Step 2: Convert to fraction form
    656.44/1,031.48 = 1,031.48/x
  3. Step 3: Cross multiply
    656.44x = 1,031.48 × 1,031.48
  4. Step 4: Simplify right side
    656.44x = 1,063,960.02
  5. Step 5: Solve for x
    x = 1,063,960.02/656.44
  6. Step 6: Final answer
    x = 1,620.81

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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.