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Finding the Third Proportional to 211,881 and 457,373

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Solution

The third proportional to 211,881 and 457,373 is: 987,299.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    211,881 : 457,373 = 457,373 : x
  2. Step 2: Convert to fraction form
    211,881/457,373 = 457,373/x
  3. Step 3: Cross multiply
    211,881x = 457,373 × 457,373
  4. Step 4: Simplify right side
    211,881x = 209,190,061,129
  5. Step 5: Solve for x
    x = 209,190,061,129/211,881
  6. Step 6: Final answer
    x = 987,299.76

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Why These Related Problems?

These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.