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Finding the Third Proportional to 205,569 and 457,850

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Solution

The third proportional to 205,569 and 457,850 is: 1,019,738.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    205,569 : 457,850 = 457,850 : x
  2. Step 2: Convert to fraction form
    205,569/457,850 = 457,850/x
  3. Step 3: Cross multiply
    205,569x = 457,850 × 457,850
  4. Step 4: Simplify right side
    205,569x = 209,626,622,500
  5. Step 5: Solve for x
    x = 209,626,622,500/205,569
  6. Step 6: Final answer
    x = 1,019,738.49

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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.