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Finding the Third Proportional to 272,067 and 583,446

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Solution

The third proportional to 272,067 and 583,446 is: 1,251,196.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    272,067 : 583,446 = 583,446 : x
  2. Step 2: Convert to fraction form
    272,067/583,446 = 583,446/x
  3. Step 3: Cross multiply
    272,067x = 583,446 × 583,446
  4. Step 4: Simplify right side
    272,067x = 340,409,234,916
  5. Step 5: Solve for x
    x = 340,409,234,916/272,067
  6. Step 6: Final answer
    x = 1,251,196.34

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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.