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Finding the Third Proportional to 209,928.38 and 449,805.38

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Solution

The third proportional to 209,928.38 and 449,805.38 is: 963,780.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    209,928.38 : 449,805.38 = 449,805.38 : x
  2. Step 2: Convert to fraction form
    209,928.38/449,805.38 = 449,805.38/x
  3. Step 3: Cross multiply
    209,928.38x = 449,805.38 × 449,805.38
  4. Step 4: Simplify right side
    209,928.38x = 202,324,875,378.89
  5. Step 5: Solve for x
    x = 202,324,875,378.89/209,928.38
  6. Step 6: Final answer
    x = 963,780.51

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Why These Related Problems?

These problems maintain the same ratio (2.14) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.