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Finding the Third Proportional to 360,794.25 and 778,791.38

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Solution

The third proportional to 360,794.25 and 778,791.38 is: 1,681,057.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    360,794.25 : 778,791.38 = 778,791.38 : x
  2. Step 2: Convert to fraction form
    360,794.25/778,791.38 = 778,791.38/x
  3. Step 3: Cross multiply
    360,794.25x = 778,791.38 × 778,791.38
  4. Step 4: Simplify right side
    360,794.25x = 606,516,005,774.39
  5. Step 5: Solve for x
    x = 606,516,005,774.39/360,794.25
  6. Step 6: Final answer
    x = 1,681,057.85

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Why These Related Problems?

These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.