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Finding the Third Proportional to 879.61 and 1,267.52

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Solution

The third proportional to 879.61 and 1,267.52 is: 1,826.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    879.61 : 1,267.52 = 1,267.52 : x
  2. Step 2: Convert to fraction form
    879.61/1,267.52 = 1,267.52/x
  3. Step 3: Cross multiply
    879.61x = 1,267.52 × 1,267.52
  4. Step 4: Simplify right side
    879.61x = 1,606,615.66
  5. Step 5: Solve for x
    x = 1,606,615.66/879.61
  6. Step 6: Final answer
    x = 1,826.51

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Why These Related Problems?

These problems maintain the same ratio (1.44) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.