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Finding the Third Proportional to 199,691 and 435,974

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Solution

The third proportional to 199,691 and 435,974 is: 951,837.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    199,691 : 435,974 = 435,974 : x
  2. Step 2: Convert to fraction form
    199,691/435,974 = 435,974/x
  3. Step 3: Cross multiply
    199,691x = 435,974 × 435,974
  4. Step 4: Simplify right side
    199,691x = 190,073,328,676
  5. Step 5: Solve for x
    x = 190,073,328,676/199,691
  6. Step 6: Final answer
    x = 951,837.23

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.