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Finding the Third Proportional to 368,469 and 781,219.69

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Solution

The third proportional to 368,469 and 781,219.69 is: 1,656,324.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    368,469 : 781,219.69 = 781,219.69 : x
  2. Step 2: Convert to fraction form
    368,469/781,219.69 = 781,219.69/x
  3. Step 3: Cross multiply
    368,469x = 781,219.69 × 781,219.69
  4. Step 4: Simplify right side
    368,469x = 610,304,200,137.60
  5. Step 5: Solve for x
    x = 610,304,200,137.60/368,469
  6. Step 6: Final answer
    x = 1,656,324.41

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These problems maintain the same ratio (2.12) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.