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Finding the Third Proportional to 322,548.75 and 512,335.13

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Solution

The third proportional to 322,548.75 and 512,335.13 is: 813,791.03

Step by Step Solution

  1. Step 1: Write the proportion equation
    322,548.75 : 512,335.13 = 512,335.13 : x
  2. Step 2: Convert to fraction form
    322,548.75/512,335.13 = 512,335.13/x
  3. Step 3: Cross multiply
    322,548.75x = 512,335.13 × 512,335.13
  4. Step 4: Simplify right side
    322,548.75x = 262,487,280,308.77
  5. Step 5: Solve for x
    x = 262,487,280,308.77/322,548.75
  6. Step 6: Final answer
    x = 813,791.03

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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.