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Finding the Third Proportional to 698,896.13 and 956,382.75

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Solution

The third proportional to 698,896.13 and 956,382.75 is: 1,308,732.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    698,896.13 : 956,382.75 = 956,382.75 : x
  2. Step 2: Convert to fraction form
    698,896.13/956,382.75 = 956,382.75/x
  3. Step 3: Cross multiply
    698,896.13x = 956,382.75 × 956,382.75
  4. Step 4: Simplify right side
    698,896.13x = 914,667,964,497.56
  5. Step 5: Solve for x
    x = 914,667,964,497.56/698,896.13
  6. Step 6: Final answer
    x = 1,308,732.34

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Why These Related Problems?

These problems maintain the same ratio (1.37) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.