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Finding the Third Proportional to 996.47 and 1,332.28

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Solution

The third proportional to 996.47 and 1,332.28 is: 1,781.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    996.47 : 1,332.28 = 1,332.28 : x
  2. Step 2: Convert to fraction form
    996.47/1,332.28 = 1,332.28/x
  3. Step 3: Cross multiply
    996.47x = 1,332.28 × 1,332.28
  4. Step 4: Simplify right side
    996.47x = 1,774,973.33
  5. Step 5: Solve for x
    x = 1,774,973.33/996.47
  6. Step 6: Final answer
    x = 1,781.26

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Why These Related Problems?

These problems maintain the same ratio (1.34) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.