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Finding the Third Proportional to 713,888 and 951,744

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Solution

The third proportional to 713,888 and 951,744 is: 1,268,849.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    713,888 : 951,744 = 951,744 : x
  2. Step 2: Convert to fraction form
    713,888/951,744 = 951,744/x
  3. Step 3: Cross multiply
    713,888x = 951,744 × 951,744
  4. Step 4: Simplify right side
    713,888x = 905,816,641,536
  5. Step 5: Solve for x
    x = 905,816,641,536/713,888
  6. Step 6: Final answer
    x = 1,268,849.79

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Why These Related Problems?

These problems maintain the same ratio (1.33) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.