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Finding the Third Proportional to 363,078 and 878,526

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Solution

The third proportional to 363,078 and 878,526 is: 2,125,735.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    363,078 : 878,526 = 878,526 : x
  2. Step 2: Convert to fraction form
    363,078/878,526 = 878,526/x
  3. Step 3: Cross multiply
    363,078x = 878,526 × 878,526
  4. Step 4: Simplify right side
    363,078x = 771,807,932,676
  5. Step 5: Solve for x
    x = 771,807,932,676/363,078
  6. Step 6: Final answer
    x = 2,125,735.88

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Why These Related Problems?

These problems maintain the same ratio (2.42) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.