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Finding the Third Proportional to 205,701 and 449,850

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Solution

The third proportional to 205,701 and 449,850 is: 983,782.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    205,701 : 449,850 = 449,850 : x
  2. Step 2: Convert to fraction form
    205,701/449,850 = 449,850/x
  3. Step 3: Cross multiply
    205,701x = 449,850 × 449,850
  4. Step 4: Simplify right side
    205,701x = 202,365,022,500
  5. Step 5: Solve for x
    x = 202,365,022,500/205,701
  6. Step 6: Final answer
    x = 983,782.40

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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.