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Finding the Third Proportional to 209,854.88 and 449,652.75

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Solution

The third proportional to 209,854.88 and 449,652.75 is: 963,463.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    209,854.88 : 449,652.75 = 449,652.75 : x
  2. Step 2: Convert to fraction form
    209,854.88/449,652.75 = 449,652.75/x
  3. Step 3: Cross multiply
    209,854.88x = 449,652.75 × 449,652.75
  4. Step 4: Simplify right side
    209,854.88x = 202,187,595,582.56
  5. Step 5: Solve for x
    x = 202,187,595,582.56/209,854.88
  6. Step 6: Final answer
    x = 963,463.90

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