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Finding the Third Proportional to 201,806 and 442,974

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Solution

The third proportional to 201,806 and 442,974 is: 972,349.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    201,806 : 442,974 = 442,974 : x
  2. Step 2: Convert to fraction form
    201,806/442,974 = 442,974/x
  3. Step 3: Cross multiply
    201,806x = 442,974 × 442,974
  4. Step 4: Simplify right side
    201,806x = 196,225,964,676
  5. Step 5: Solve for x
    x = 196,225,964,676/201,806
  6. Step 6: Final answer
    x = 972,349.51

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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.