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Finding the Third Proportional to 383,284 and 806,288

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Solution

The third proportional to 383,284 and 806,288 is: 1,696,132.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    383,284 : 806,288 = 806,288 : x
  2. Step 2: Convert to fraction form
    383,284/806,288 = 806,288/x
  3. Step 3: Cross multiply
    383,284x = 806,288 × 806,288
  4. Step 4: Simplify right side
    383,284x = 650,100,338,944
  5. Step 5: Solve for x
    x = 650,100,338,944/383,284
  6. Step 6: Final answer
    x = 1,696,132.21

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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.