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Finding the Third Proportional to 383,215.88 and 806,130.75

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Solution

The third proportional to 383,215.88 and 806,130.75 is: 1,695,772.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    383,215.88 : 806,130.75 = 806,130.75 : x
  2. Step 2: Convert to fraction form
    383,215.88/806,130.75 = 806,130.75/x
  3. Step 3: Cross multiply
    383,215.88x = 806,130.75 × 806,130.75
  4. Step 4: Simplify right side
    383,215.88x = 649,846,786,095.56
  5. Step 5: Solve for x
    x = 649,846,786,095.56/383,215.88
  6. Step 6: Final answer
    x = 1,695,772.09

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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.