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Finding the Third Proportional to 397,358 and 861,996

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Solution

The third proportional to 397,358 and 861,996 is: 1,869,943.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    397,358 : 861,996 = 861,996 : x
  2. Step 2: Convert to fraction form
    397,358/861,996 = 861,996/x
  3. Step 3: Cross multiply
    397,358x = 861,996 × 861,996
  4. Step 4: Simplify right side
    397,358x = 743,037,104,016
  5. Step 5: Solve for x
    x = 743,037,104,016/397,358
  6. Step 6: Final answer
    x = 1,869,943.74

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Why These Related Problems?

These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.