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Finding the Third Proportional to 204,211.13 and 439,860.38

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Solution

The third proportional to 204,211.13 and 439,860.38 is: 947,436.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    204,211.13 : 439,860.38 = 439,860.38 : x
  2. Step 2: Convert to fraction form
    204,211.13/439,860.38 = 439,860.38/x
  3. Step 3: Cross multiply
    204,211.13x = 439,860.38 × 439,860.38
  4. Step 4: Simplify right side
    204,211.13x = 193,477,149,495.14
  5. Step 5: Solve for x
    x = 193,477,149,495.14/204,211.13
  6. Step 6: Final answer
    x = 947,436.87

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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.