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Finding the Third Proportional to 223,800 and 486,924

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Solution

The third proportional to 223,800 and 486,924 is: 1,059,405.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    223,800 : 486,924 = 486,924 : x
  2. Step 2: Convert to fraction form
    223,800/486,924 = 486,924/x
  3. Step 3: Cross multiply
    223,800x = 486,924 × 486,924
  4. Step 4: Simplify right side
    223,800x = 237,094,981,776
  5. Step 5: Solve for x
    x = 237,094,981,776/223,800
  6. Step 6: Final answer
    x = 1,059,405.64

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.