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Finding the Third Proportional to 398,230 and 875,192

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Solution

The third proportional to 398,230 and 875,192 is: 1,923,413.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    398,230 : 875,192 = 875,192 : x
  2. Step 2: Convert to fraction form
    398,230/875,192 = 875,192/x
  3. Step 3: Cross multiply
    398,230x = 875,192 × 875,192
  4. Step 4: Simplify right side
    398,230x = 765,961,036,864
  5. Step 5: Solve for x
    x = 765,961,036,864/398,230
  6. Step 6: Final answer
    x = 1,923,413.70

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Why These Related Problems?

These problems maintain the same ratio (2.20) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.