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Finding the Third Proportional to 253,052 and 378,876

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Solution

The third proportional to 253,052 and 378,876 is: 567,262.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    253,052 : 378,876 = 378,876 : x
  2. Step 2: Convert to fraction form
    253,052/378,876 = 378,876/x
  3. Step 3: Cross multiply
    253,052x = 378,876 × 378,876
  4. Step 4: Simplify right side
    253,052x = 143,547,023,376
  5. Step 5: Solve for x
    x = 143,547,023,376/253,052
  6. Step 6: Final answer
    x = 567,262.95

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.