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Finding the Third Proportional to 223,822 and 457,986

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Solution

The third proportional to 223,822 and 457,986 is: 937,133.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    223,822 : 457,986 = 457,986 : x
  2. Step 2: Convert to fraction form
    223,822/457,986 = 457,986/x
  3. Step 3: Cross multiply
    223,822x = 457,986 × 457,986
  4. Step 4: Simplify right side
    223,822x = 209,751,176,196
  5. Step 5: Solve for x
    x = 209,751,176,196/223,822
  6. Step 6: Final answer
    x = 937,133.87

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Why These Related Problems?

These problems maintain the same ratio (2.05) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.