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Finding the Third Proportional to 200,909.25 and 441,994.50

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Solution

The third proportional to 200,909.25 and 441,994.50 is: 972,375.03

Step by Step Solution

  1. Step 1: Write the proportion equation
    200,909.25 : 441,994.50 = 441,994.50 : x
  2. Step 2: Convert to fraction form
    200,909.25/441,994.50 = 441,994.50/x
  3. Step 3: Cross multiply
    200,909.25x = 441,994.50 × 441,994.50
  4. Step 4: Simplify right side
    200,909.25x = 195,359,138,030.25
  5. Step 5: Solve for x
    x = 195,359,138,030.25/200,909.25
  6. Step 6: Final answer
    x = 972,375.03

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These problems maintain the same ratio (2.20) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.