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Finding the Third Proportional to 316,892 and 704,626

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Solution

The third proportional to 316,892 and 704,626 is: 1,566,772.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    316,892 : 704,626 = 704,626 : x
  2. Step 2: Convert to fraction form
    316,892/704,626 = 704,626/x
  3. Step 3: Cross multiply
    316,892x = 704,626 × 704,626
  4. Step 4: Simplify right side
    316,892x = 496,497,799,876
  5. Step 5: Solve for x
    x = 496,497,799,876/316,892
  6. Step 6: Final answer
    x = 1,566,772.91

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Why These Related Problems?

These problems maintain the same ratio (2.22) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.