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Finding the Third Proportional to 383,401 and 806,464.50

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Solution

The third proportional to 383,401 and 806,464.50 is: 1,696,357.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    383,401 : 806,464.50 = 806,464.50 : x
  2. Step 2: Convert to fraction form
    383,401/806,464.50 = 806,464.50/x
  3. Step 3: Cross multiply
    383,401x = 806,464.50 × 806,464.50
  4. Step 4: Simplify right side
    383,401x = 650,384,989,760.25
  5. Step 5: Solve for x
    x = 650,384,989,760.25/383,401
  6. Step 6: Final answer
    x = 1,696,357.05

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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.