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Finding the Third Proportional to 269,984.25 and 580,034.53

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Solution

The third proportional to 269,984.25 and 580,034.53 is: 1,246,146.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    269,984.25 : 580,034.53 = 580,034.53 : x
  2. Step 2: Convert to fraction form
    269,984.25/580,034.53 = 580,034.53/x
  3. Step 3: Cross multiply
    269,984.25x = 580,034.53 × 580,034.53
  4. Step 4: Simplify right side
    269,984.25x = 336,440,057,442.41
  5. Step 5: Solve for x
    x = 336,440,057,442.41/269,984.25
  6. Step 6: Final answer
    x = 1,246,146.98

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Why These Related Problems?

These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.