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Finding the Third Proportional to 205,566.75 and 457,845.75

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Solution

The third proportional to 205,566.75 and 457,845.75 is: 1,019,730.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    205,566.75 : 457,845.75 = 457,845.75 : x
  2. Step 2: Convert to fraction form
    205,566.75/457,845.75 = 457,845.75/x
  3. Step 3: Cross multiply
    205,566.75x = 457,845.75 × 457,845.75
  4. Step 4: Simplify right side
    205,566.75x = 209,622,730,793.06
  5. Step 5: Solve for x
    x = 209,622,730,793.06/205,566.75
  6. Step 6: Final answer
    x = 1,019,730.72

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Why These Related Problems?

These problems maintain the same ratio (2.23) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.