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Finding the Third Proportional to 383,400 and 806,462.44

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Solution

The third proportional to 383,400 and 806,462.44 is: 1,696,352.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    383,400 : 806,462.44 = 806,462.44 : x
  2. Step 2: Convert to fraction form
    383,400/806,462.44 = 806,462.44/x
  3. Step 3: Cross multiply
    383,400x = 806,462.44 × 806,462.44
  4. Step 4: Simplify right side
    383,400x = 650,381,663,098.44
  5. Step 5: Solve for x
    x = 650,381,663,098.44/383,400
  6. Step 6: Final answer
    x = 1,696,352.80

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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.