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Finding the Third Proportional to 463,343 and 739,979

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Solution

The third proportional to 463,343 and 739,979 is: 1,181,778.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    463,343 : 739,979 = 739,979 : x
  2. Step 2: Convert to fraction form
    463,343/739,979 = 739,979/x
  3. Step 3: Cross multiply
    463,343x = 739,979 × 739,979
  4. Step 4: Simplify right side
    463,343x = 547,568,920,441
  5. Step 5: Solve for x
    x = 547,568,920,441/463,343
  6. Step 6: Final answer
    x = 1,181,778.77

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Why These Related Problems?

These problems maintain the same ratio (1.60) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.