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Finding the Third Proportional to 223,198 and 517,473

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Solution

The third proportional to 223,198 and 517,473 is: 1,199,734.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    223,198 : 517,473 = 517,473 : x
  2. Step 2: Convert to fraction form
    223,198/517,473 = 517,473/x
  3. Step 3: Cross multiply
    223,198x = 517,473 × 517,473
  4. Step 4: Simplify right side
    223,198x = 267,778,305,729
  5. Step 5: Solve for x
    x = 267,778,305,729/223,198
  6. Step 6: Final answer
    x = 1,199,734.34

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Why These Related Problems?

These problems maintain the same ratio (2.32) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.