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Finding the Third Proportional to 481,309.88 and 739,873.13

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Solution

The third proportional to 481,309.88 and 739,873.13 is: 1,137,338.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    481,309.88 : 739,873.13 = 739,873.13 : x
  2. Step 2: Convert to fraction form
    481,309.88/739,873.13 = 739,873.13/x
  3. Step 3: Cross multiply
    481,309.88x = 739,873.13 × 739,873.13
  4. Step 4: Simplify right side
    481,309.88x = 547,412,241,097.27
  5. Step 5: Solve for x
    x = 547,412,241,097.27/481,309.88
  6. Step 6: Final answer
    x = 1,137,338.48

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Why These Related Problems?

These problems maintain the same ratio (1.54) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.