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Finding the Third Proportional to 372,320 and 804,384

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Solution

The third proportional to 372,320 and 804,384 is: 1,737,842.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    372,320 : 804,384 = 804,384 : x
  2. Step 2: Convert to fraction form
    372,320/804,384 = 804,384/x
  3. Step 3: Cross multiply
    372,320x = 804,384 × 804,384
  4. Step 4: Simplify right side
    372,320x = 647,033,619,456
  5. Step 5: Solve for x
    x = 647,033,619,456/372,320
  6. Step 6: Final answer
    x = 1,737,842.77

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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.