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Finding the Third Proportional to 383,282 and 806,284

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Solution

The third proportional to 383,282 and 806,284 is: 1,696,124.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    383,282 : 806,284 = 806,284 : x
  2. Step 2: Convert to fraction form
    383,282/806,284 = 806,284/x
  3. Step 3: Cross multiply
    383,282x = 806,284 × 806,284
  4. Step 4: Simplify right side
    383,282x = 650,093,888,656
  5. Step 5: Solve for x
    x = 650,093,888,656/383,282
  6. Step 6: Final answer
    x = 1,696,124.23

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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.