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Finding the Third Proportional to 344,452 and 543,084

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Solution

The third proportional to 344,452 and 543,084 is: 856,259.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    344,452 : 543,084 = 543,084 : x
  2. Step 2: Convert to fraction form
    344,452/543,084 = 543,084/x
  3. Step 3: Cross multiply
    344,452x = 543,084 × 543,084
  4. Step 4: Simplify right side
    344,452x = 294,940,231,056
  5. Step 5: Solve for x
    x = 294,940,231,056/344,452
  6. Step 6: Final answer
    x = 856,259.31

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Why These Related Problems?

These problems maintain the same ratio (1.58) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.