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Finding the Third Proportional to 398,196 and 875,124

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Solution

The third proportional to 398,196 and 875,124 is: 1,923,279.03

Step by Step Solution

  1. Step 1: Write the proportion equation
    398,196 : 875,124 = 875,124 : x
  2. Step 2: Convert to fraction form
    398,196/875,124 = 875,124/x
  3. Step 3: Cross multiply
    398,196x = 875,124 × 875,124
  4. Step 4: Simplify right side
    398,196x = 765,842,015,376
  5. Step 5: Solve for x
    x = 765,842,015,376/398,196
  6. Step 6: Final answer
    x = 1,923,279.03

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