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Finding the Third Proportional to 291,961.55 and 627,571.97

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Solution

The third proportional to 291,961.55 and 627,571.97 is: 1,348,967.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    291,961.55 : 627,571.97 = 627,571.97 : x
  2. Step 2: Convert to fraction form
    291,961.55/627,571.97 = 627,571.97/x
  3. Step 3: Cross multiply
    291,961.55x = 627,571.97 × 627,571.97
  4. Step 4: Simplify right side
    291,961.55x = 393,846,575,960.75
  5. Step 5: Solve for x
    x = 393,846,575,960.75/291,961.55
  6. Step 6: Final answer
    x = 1,348,967.29

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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.