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Finding the Third Proportional to 280,252 and 426,858

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Solution

The third proportional to 280,252 and 426,858 is: 650,156.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    280,252 : 426,858 = 426,858 : x
  2. Step 2: Convert to fraction form
    280,252/426,858 = 426,858/x
  3. Step 3: Cross multiply
    280,252x = 426,858 × 426,858
  4. Step 4: Simplify right side
    280,252x = 182,207,752,164
  5. Step 5: Solve for x
    x = 182,207,752,164/280,252
  6. Step 6: Final answer
    x = 650,156.83

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These problems maintain the same ratio (1.52) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.