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Finding the Third Proportional to 223,786 and 486,923

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Solution

The third proportional to 223,786 and 486,923 is: 1,059,467.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    223,786 : 486,923 = 486,923 : x
  2. Step 2: Convert to fraction form
    223,786/486,923 = 486,923/x
  3. Step 3: Cross multiply
    223,786x = 486,923 × 486,923
  4. Step 4: Simplify right side
    223,786x = 237,094,007,929
  5. Step 5: Solve for x
    x = 237,094,007,929/223,786
  6. Step 6: Final answer
    x = 1,059,467.56

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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.