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Finding the Third Proportional to 383,277 and 806,280

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Solution

The third proportional to 383,277 and 806,280 is: 1,696,129.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    383,277 : 806,280 = 806,280 : x
  2. Step 2: Convert to fraction form
    383,277/806,280 = 806,280/x
  3. Step 3: Cross multiply
    383,277x = 806,280 × 806,280
  4. Step 4: Simplify right side
    383,277x = 650,087,438,400
  5. Step 5: Solve for x
    x = 650,087,438,400/383,277
  6. Step 6: Final answer
    x = 1,696,129.53

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Why These Related Problems?

These problems maintain the same ratio (2.10) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.