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Finding the Third Proportional to 381,408 and 829,224

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Solution

The third proportional to 381,408 and 829,224 is: 1,802,826.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    381,408 : 829,224 = 829,224 : x
  2. Step 2: Convert to fraction form
    381,408/829,224 = 829,224/x
  3. Step 3: Cross multiply
    381,408x = 829,224 × 829,224
  4. Step 4: Simplify right side
    381,408x = 687,612,442,176
  5. Step 5: Solve for x
    x = 687,612,442,176/381,408
  6. Step 6: Final answer
    x = 1,802,826.48

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Why These Related Problems?

These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.