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Finding the Third Proportional to 204,867.75 and 447,094.50

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Solution

The third proportional to 204,867.75 and 447,094.50 is: 975,719.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    204,867.75 : 447,094.50 = 447,094.50 : x
  2. Step 2: Convert to fraction form
    204,867.75/447,094.50 = 447,094.50/x
  3. Step 3: Cross multiply
    204,867.75x = 447,094.50 × 447,094.50
  4. Step 4: Simplify right side
    204,867.75x = 199,893,491,930.25
  5. Step 5: Solve for x
    x = 199,893,491,930.25/204,867.75
  6. Step 6: Final answer
    x = 975,719.66

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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.