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Finding the Third Proportional to 209,973.38 and 454,938.75

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Solution

The third proportional to 209,973.38 and 454,938.75 is: 985,692.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    209,973.38 : 454,938.75 = 454,938.75 : x
  2. Step 2: Convert to fraction form
    209,973.38/454,938.75 = 454,938.75/x
  3. Step 3: Cross multiply
    209,973.38x = 454,938.75 × 454,938.75
  4. Step 4: Simplify right side
    209,973.38x = 206,969,266,251.56
  5. Step 5: Solve for x
    x = 206,969,266,251.56/209,973.38
  6. Step 6: Final answer
    x = 985,692.91

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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.