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Finding the Third Proportional to 372,539 and 804,610

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Solution

The third proportional to 372,539 and 804,610 is: 1,737,797.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    372,539 : 804,610 = 804,610 : x
  2. Step 2: Convert to fraction form
    372,539/804,610 = 804,610/x
  3. Step 3: Cross multiply
    372,539x = 804,610 × 804,610
  4. Step 4: Simplify right side
    372,539x = 647,397,252,100
  5. Step 5: Solve for x
    x = 647,397,252,100/372,539
  6. Step 6: Final answer
    x = 1,737,797.26

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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.