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Finding the Third Proportional to 383,262.56 and 806,250.56

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Solution

The third proportional to 383,262.56 and 806,250.56 is: 1,696,069.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    383,262.56 : 806,250.56 = 806,250.56 : x
  2. Step 2: Convert to fraction form
    383,262.56/806,250.56 = 806,250.56/x
  3. Step 3: Cross multiply
    383,262.56x = 806,250.56 × 806,250.56
  4. Step 4: Simplify right side
    383,262.56x = 650,039,969,531.57
  5. Step 5: Solve for x
    x = 650,039,969,531.57/383,262.56
  6. Step 6: Final answer
    x = 1,696,069.57

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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.