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Finding the Third Proportional to 205,552 and 457,816

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Solution

The third proportional to 205,552 and 457,816 is: 1,019,671.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    205,552 : 457,816 = 457,816 : x
  2. Step 2: Convert to fraction form
    205,552/457,816 = 457,816/x
  3. Step 3: Cross multiply
    205,552x = 457,816 × 457,816
  4. Step 4: Simplify right side
    205,552x = 209,595,489,856
  5. Step 5: Solve for x
    x = 209,595,489,856/205,552
  6. Step 6: Final answer
    x = 1,019,671.37

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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.