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Finding the Third Proportional to 383,214.38 and 806,127.75

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Solution

The third proportional to 383,214.38 and 806,127.75 is: 1,695,766.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    383,214.38 : 806,127.75 = 806,127.75 : x
  2. Step 2: Convert to fraction form
    383,214.38/806,127.75 = 806,127.75/x
  3. Step 3: Cross multiply
    383,214.38x = 806,127.75 × 806,127.75
  4. Step 4: Simplify right side
    383,214.38x = 649,841,949,320.06
  5. Step 5: Solve for x
    x = 649,841,949,320.06/383,214.38
  6. Step 6: Final answer
    x = 1,695,766.11

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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.