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Finding the Third Proportional to 997.31 and 1,403.58

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Solution

The third proportional to 997.31 and 1,403.58 is: 1,975.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    997.31 : 1,403.58 = 1,403.58 : x
  2. Step 2: Convert to fraction form
    997.31/1,403.58 = 1,403.58/x
  3. Step 3: Cross multiply
    997.31x = 1,403.58 × 1,403.58
  4. Step 4: Simplify right side
    997.31x = 1,970,031.55
  5. Step 5: Solve for x
    x = 1,970,031.55/997.31
  6. Step 6: Final answer
    x = 1,975.34

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Why These Related Problems?

These problems maintain the same ratio (1.41) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.