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Finding the Third Proportional to 887.34 and 1,330.17

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Solution

The third proportional to 887.34 and 1,330.17 is: 1,993.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    887.34 : 1,330.17 = 1,330.17 : x
  2. Step 2: Convert to fraction form
    887.34/1,330.17 = 1,330.17/x
  3. Step 3: Cross multiply
    887.34x = 1,330.17 × 1,330.17
  4. Step 4: Simplify right side
    887.34x = 1,769,357.22
  5. Step 5: Solve for x
    x = 1,769,357.22/887.34
  6. Step 6: Final answer
    x = 1,993.99

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.