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Finding the Third Proportional to 372,976 and 804,920

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Solution

The third proportional to 372,976 and 804,920 is: 1,737,098.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    372,976 : 804,920 = 804,920 : x
  2. Step 2: Convert to fraction form
    372,976/804,920 = 804,920/x
  3. Step 3: Cross multiply
    372,976x = 804,920 × 804,920
  4. Step 4: Simplify right side
    372,976x = 647,896,206,400
  5. Step 5: Solve for x
    x = 647,896,206,400/372,976
  6. Step 6: Final answer
    x = 1,737,098.92

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Why These Related Problems?

These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.