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Finding the Third Proportional to 422,196.75 and 861,585.75

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Solution

The third proportional to 422,196.75 and 861,585.75 is: 1,758,256.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    422,196.75 : 861,585.75 = 861,585.75 : x
  2. Step 2: Convert to fraction form
    422,196.75/861,585.75 = 861,585.75/x
  3. Step 3: Cross multiply
    422,196.75x = 861,585.75 × 861,585.75
  4. Step 4: Simplify right side
    422,196.75x = 742,330,004,603.06
  5. Step 5: Solve for x
    x = 742,330,004,603.06/422,196.75
  6. Step 6: Final answer
    x = 1,758,256.08

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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.