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Finding the Third Proportional to 271,914 and 583,204

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Solution

The third proportional to 271,914 and 583,204 is: 1,250,862.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    271,914 : 583,204 = 583,204 : x
  2. Step 2: Convert to fraction form
    271,914/583,204 = 583,204/x
  3. Step 3: Cross multiply
    271,914x = 583,204 × 583,204
  4. Step 4: Simplify right side
    271,914x = 340,126,905,616
  5. Step 5: Solve for x
    x = 340,126,905,616/271,914
  6. Step 6: Final answer
    x = 1,250,862.06

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Why These Related Problems?

These problems maintain the same ratio (2.14) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.