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Finding the Third Proportional to 997.88 and 1,330.88

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Solution

The third proportional to 997.88 and 1,330.88 is: 1,775.00

Step by Step Solution

  1. Step 1: Write the proportion equation
    997.88 : 1,330.88 = 1,330.88 : x
  2. Step 2: Convert to fraction form
    997.88/1,330.88 = 1,330.88/x
  3. Step 3: Cross multiply
    997.88x = 1,330.88 × 1,330.88
  4. Step 4: Simplify right side
    997.88x = 1,771,228.27
  5. Step 5: Solve for x
    x = 1,771,228.27/997.88
  6. Step 6: Final answer
    x = 1,775.00

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Why These Related Problems?

These problems maintain the same ratio (1.33) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.