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Finding the Third Proportional to 653,964.75 and 878,826.38

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Solution

The third proportional to 653,964.75 and 878,826.38 is: 1,181,005.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    653,964.75 : 878,826.38 = 878,826.38 : x
  2. Step 2: Convert to fraction form
    653,964.75/878,826.38 = 878,826.38/x
  3. Step 3: Cross multiply
    653,964.75x = 878,826.38 × 878,826.38
  4. Step 4: Simplify right side
    653,964.75x = 772,335,797,395.64
  5. Step 5: Solve for x
    x = 772,335,797,395.64/653,964.75
  6. Step 6: Final answer
    x = 1,181,005.24

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Why These Related Problems?

These problems maintain the same ratio (1.34) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.