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Finding the Third Proportional to 344,449 and 543,086

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Solution

The third proportional to 344,449 and 543,086 is: 856,273.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    344,449 : 543,086 = 543,086 : x
  2. Step 2: Convert to fraction form
    344,449/543,086 = 543,086/x
  3. Step 3: Cross multiply
    344,449x = 543,086 × 543,086
  4. Step 4: Simplify right side
    344,449x = 294,942,403,396
  5. Step 5: Solve for x
    x = 294,942,403,396/344,449
  6. Step 6: Final answer
    x = 856,273.07

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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.