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Finding the Third Proportional to 209,854.50 and 449,625

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Solution

The third proportional to 209,854.50 and 449,625 is: 963,346.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    209,854.50 : 449,625 = 449,625 : x
  2. Step 2: Convert to fraction form
    209,854.50/449,625 = 449,625/x
  3. Step 3: Cross multiply
    209,854.50x = 449,625 × 449,625
  4. Step 4: Simplify right side
    209,854.50x = 202,162,640,625
  5. Step 5: Solve for x
    x = 202,162,640,625/209,854.50
  6. Step 6: Final answer
    x = 963,346.70

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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.