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Finding the Third Proportional to 204,583.22 and 447,256.69

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Solution

The third proportional to 204,583.22 and 447,256.69 is: 977,785.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    204,583.22 : 447,256.69 = 447,256.69 : x
  2. Step 2: Convert to fraction form
    204,583.22/447,256.69 = 447,256.69/x
  3. Step 3: Cross multiply
    204,583.22x = 447,256.69 × 447,256.69
  4. Step 4: Simplify right side
    204,583.22x = 200,038,544,513.47
  5. Step 5: Solve for x
    x = 200,038,544,513.47/204,583.22
  6. Step 6: Final answer
    x = 977,785.69

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Why These Related Problems?

These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.