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Finding the Third Proportional to 322,557.19 and 512,439.75

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Solution

The third proportional to 322,557.19 and 512,439.75 is: 814,102.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    322,557.19 : 512,439.75 = 512,439.75 : x
  2. Step 2: Convert to fraction form
    322,557.19/512,439.75 = 512,439.75/x
  3. Step 3: Cross multiply
    322,557.19x = 512,439.75 × 512,439.75
  4. Step 4: Simplify right side
    322,557.19x = 262,594,497,380.06
  5. Step 5: Solve for x
    x = 262,594,497,380.06/322,557.19
  6. Step 6: Final answer
    x = 814,102.14

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These problems maintain the same ratio (1.59) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.