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Finding the Third Proportional to 246,732.38 and 538,085.44

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Solution

The third proportional to 246,732.38 and 538,085.44 is: 1,173,481.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    246,732.38 : 538,085.44 = 538,085.44 : x
  2. Step 2: Convert to fraction form
    246,732.38/538,085.44 = 538,085.44/x
  3. Step 3: Cross multiply
    246,732.38x = 538,085.44 × 538,085.44
  4. Step 4: Simplify right side
    246,732.38x = 289,535,938,049.57
  5. Step 5: Solve for x
    x = 289,535,938,049.57/246,732.38
  6. Step 6: Final answer
    x = 1,173,481.75

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.