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Finding the Third Proportional to 376,088 and 783,282

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Solution

The third proportional to 376,088 and 783,282 is: 1,631,348.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    376,088 : 783,282 = 783,282 : x
  2. Step 2: Convert to fraction form
    376,088/783,282 = 783,282/x
  3. Step 3: Cross multiply
    376,088x = 783,282 × 783,282
  4. Step 4: Simplify right side
    376,088x = 613,530,691,524
  5. Step 5: Solve for x
    x = 613,530,691,524/376,088
  6. Step 6: Final answer
    x = 1,631,348.76

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Why These Related Problems?

These problems maintain the same ratio (2.08) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.