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Finding the Third Proportional to 214,736 and 457,192

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Solution

The third proportional to 214,736 and 457,192 is: 973,402.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    214,736 : 457,192 = 457,192 : x
  2. Step 2: Convert to fraction form
    214,736/457,192 = 457,192/x
  3. Step 3: Cross multiply
    214,736x = 457,192 × 457,192
  4. Step 4: Simplify right side
    214,736x = 209,024,524,864
  5. Step 5: Solve for x
    x = 209,024,524,864/214,736
  6. Step 6: Final answer
    x = 973,402.34

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Why These Related Problems?

These problems maintain the same ratio (2.13) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.