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Finding the Third Proportional to 826.88 and 1,285.88

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Solution

The third proportional to 826.88 and 1,285.88 is: 1,999.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    826.88 : 1,285.88 = 1,285.88 : x
  2. Step 2: Convert to fraction form
    826.88/1,285.88 = 1,285.88/x
  3. Step 3: Cross multiply
    826.88x = 1,285.88 × 1,285.88
  4. Step 4: Simplify right side
    826.88x = 1,653,474.52
  5. Step 5: Solve for x
    x = 1,653,474.52/826.88
  6. Step 6: Final answer
    x = 1,999.67

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Why These Related Problems?

These problems maintain the same ratio (1.56) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.