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Finding the Third Proportional to 200,939 and 442,052

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Solution

The third proportional to 200,939 and 442,052 is: 972,484.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    200,939 : 442,052 = 442,052 : x
  2. Step 2: Convert to fraction form
    200,939/442,052 = 442,052/x
  3. Step 3: Cross multiply
    200,939x = 442,052 × 442,052
  4. Step 4: Simplify right side
    200,939x = 195,409,970,704
  5. Step 5: Solve for x
    x = 195,409,970,704/200,939
  6. Step 6: Final answer
    x = 972,484.04

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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.