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Finding the Third Proportional to 272,734 and 583,372

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Solution

The third proportional to 272,734 and 583,372 is: 1,247,819.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    272,734 : 583,372 = 583,372 : x
  2. Step 2: Convert to fraction form
    272,734/583,372 = 583,372/x
  3. Step 3: Cross multiply
    272,734x = 583,372 × 583,372
  4. Step 4: Simplify right side
    272,734x = 340,322,890,384
  5. Step 5: Solve for x
    x = 340,322,890,384/272,734
  6. Step 6: Final answer
    x = 1,247,819.82

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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.