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Finding the Third Proportional to 226,373 and 471,349

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Solution

The third proportional to 226,373 and 471,349 is: 981,432.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    226,373 : 471,349 = 471,349 : x
  2. Step 2: Convert to fraction form
    226,373/471,349 = 471,349/x
  3. Step 3: Cross multiply
    226,373x = 471,349 × 471,349
  4. Step 4: Simplify right side
    226,373x = 222,169,879,801
  5. Step 5: Solve for x
    x = 222,169,879,801/226,373
  6. Step 6: Final answer
    x = 981,432.77

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Why These Related Problems?

These problems maintain the same ratio (2.08) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.