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Finding the Third Proportional to 882.56 and 1,310.13

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Solution

The third proportional to 882.56 and 1,310.13 is: 1,944.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    882.56 : 1,310.13 = 1,310.13 : x
  2. Step 2: Convert to fraction form
    882.56/1,310.13 = 1,310.13/x
  3. Step 3: Cross multiply
    882.56x = 1,310.13 × 1,310.13
  4. Step 4: Simplify right side
    882.56x = 1,716,447.99
  5. Step 5: Solve for x
    x = 1,716,447.99/882.56
  6. Step 6: Final answer
    x = 1,944.85

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Why These Related Problems?

These problems maintain the same ratio (1.48) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.