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Finding the Third Proportional to 205,355.50 and 449,423.50

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Solution

The third proportional to 205,355.50 and 449,423.50 is: 983,569.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    205,355.50 : 449,423.50 = 449,423.50 : x
  2. Step 2: Convert to fraction form
    205,355.50/449,423.50 = 449,423.50/x
  3. Step 3: Cross multiply
    205,355.50x = 449,423.50 × 449,423.50
  4. Step 4: Simplify right side
    205,355.50x = 201,981,482,352.25
  5. Step 5: Solve for x
    x = 201,981,482,352.25/205,355.50
  6. Step 6: Final answer
    x = 983,569.87

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Why These Related Problems?

These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.