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Finding the Third Proportional to 223,841 and 472,711

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Solution

The third proportional to 223,841 and 472,711 is: 998,278.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    223,841 : 472,711 = 472,711 : x
  2. Step 2: Convert to fraction form
    223,841/472,711 = 472,711/x
  3. Step 3: Cross multiply
    223,841x = 472,711 × 472,711
  4. Step 4: Simplify right side
    223,841x = 223,455,689,521
  5. Step 5: Solve for x
    x = 223,455,689,521/223,841
  6. Step 6: Final answer
    x = 998,278.64

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Why These Related Problems?

These problems maintain the same ratio (2.11) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.