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Finding the Third Proportional to 372,684 and 804,384

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Solution

The third proportional to 372,684 and 804,384 is: 1,736,145.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    372,684 : 804,384 = 804,384 : x
  2. Step 2: Convert to fraction form
    372,684/804,384 = 804,384/x
  3. Step 3: Cross multiply
    372,684x = 804,384 × 804,384
  4. Step 4: Simplify right side
    372,684x = 647,033,619,456
  5. Step 5: Solve for x
    x = 647,033,619,456/372,684
  6. Step 6: Final answer
    x = 1,736,145.42

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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.