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Finding the Third Proportional to 223,514 and 484,873

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Solution

The third proportional to 223,514 and 484,873 is: 1,051,843.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    223,514 : 484,873 = 484,873 : x
  2. Step 2: Convert to fraction form
    223,514/484,873 = 484,873/x
  3. Step 3: Cross multiply
    223,514x = 484,873 × 484,873
  4. Step 4: Simplify right side
    223,514x = 235,101,826,129
  5. Step 5: Solve for x
    x = 235,101,826,129/223,514
  6. Step 6: Final answer
    x = 1,051,843.85

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Why These Related Problems?

These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.