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Finding the Third Proportional to 398,202 and 843,041

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Solution

The third proportional to 398,202 and 843,041 is: 1,784,818.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    398,202 : 843,041 = 843,041 : x
  2. Step 2: Convert to fraction form
    398,202/843,041 = 843,041/x
  3. Step 3: Cross multiply
    398,202x = 843,041 × 843,041
  4. Step 4: Simplify right side
    398,202x = 710,718,127,681
  5. Step 5: Solve for x
    x = 710,718,127,681/398,202
  6. Step 6: Final answer
    x = 1,784,818.08

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Why These Related Problems?

These problems maintain the same ratio (2.12) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.