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Finding the Third Proportional to 223,814 and 457,966

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Solution

The third proportional to 223,814 and 457,966 is: 937,085.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    223,814 : 457,966 = 457,966 : x
  2. Step 2: Convert to fraction form
    223,814/457,966 = 457,966/x
  3. Step 3: Cross multiply
    223,814x = 457,966 × 457,966
  4. Step 4: Simplify right side
    223,814x = 209,732,857,156
  5. Step 5: Solve for x
    x = 209,732,857,156/223,814
  6. Step 6: Final answer
    x = 937,085.51

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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.