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Finding the Third Proportional to 383,262 and 806,250

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Solution

The third proportional to 383,262 and 806,250 is: 1,696,069.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    383,262 : 806,250 = 806,250 : x
  2. Step 2: Convert to fraction form
    383,262/806,250 = 806,250/x
  3. Step 3: Cross multiply
    383,262x = 806,250 × 806,250
  4. Step 4: Simplify right side
    383,262x = 650,039,062,500
  5. Step 5: Solve for x
    x = 650,039,062,500/383,262
  6. Step 6: Final answer
    x = 1,696,069.69

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