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Finding the Third Proportional to 349,076.25 and 533,766.38

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Solution

The third proportional to 349,076.25 and 533,766.38 is: 816,172.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    349,076.25 : 533,766.38 = 533,766.38 : x
  2. Step 2: Convert to fraction form
    349,076.25/533,766.38 = 533,766.38/x
  3. Step 3: Cross multiply
    349,076.25x = 533,766.38 × 533,766.38
  4. Step 4: Simplify right side
    349,076.25x = 284,906,543,080.64
  5. Step 5: Solve for x
    x = 284,906,543,080.64/349,076.25
  6. Step 6: Final answer
    x = 816,172.81

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Why These Related Problems?

These problems maintain the same ratio (1.53) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.