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Finding the Third Proportional to 713,456 and 951,112

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Solution

The third proportional to 713,456 and 951,112 is: 1,267,932.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    713,456 : 951,112 = 951,112 : x
  2. Step 2: Convert to fraction form
    713,456/951,112 = 951,112/x
  3. Step 3: Cross multiply
    713,456x = 951,112 × 951,112
  4. Step 4: Simplify right side
    713,456x = 904,614,036,544
  5. Step 5: Solve for x
    x = 904,614,036,544/713,456
  6. Step 6: Final answer
    x = 1,267,932.48

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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.