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Finding the Third Proportional to 204,279.47 and 416,858.91

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Solution

The third proportional to 204,279.47 and 416,858.91 is: 850,654.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    204,279.47 : 416,858.91 = 416,858.91 : x
  2. Step 2: Convert to fraction form
    204,279.47/416,858.91 = 416,858.91/x
  3. Step 3: Cross multiply
    204,279.47x = 416,858.91 × 416,858.91
  4. Step 4: Simplify right side
    204,279.47x = 173,771,347,719.95
  5. Step 5: Solve for x
    x = 173,771,347,719.95/204,279.47
  6. Step 6: Final answer
    x = 850,654.98

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Why These Related Problems?

These problems maintain the same ratio (2.04) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.