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Finding the Third Proportional to 223,844 and 472,716

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Solution

The third proportional to 223,844 and 472,716 is: 998,286.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    223,844 : 472,716 = 472,716 : x
  2. Step 2: Convert to fraction form
    223,844/472,716 = 472,716/x
  3. Step 3: Cross multiply
    223,844x = 472,716 × 472,716
  4. Step 4: Simplify right side
    223,844x = 223,460,416,656
  5. Step 5: Solve for x
    x = 223,460,416,656/223,844
  6. Step 6: Final answer
    x = 998,286.38

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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.