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Finding the Third Proportional to 344,451 and 543,089

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Solution

The third proportional to 344,451 and 543,089 is: 856,277.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    344,451 : 543,089 = 543,089 : x
  2. Step 2: Convert to fraction form
    344,451/543,089 = 543,089/x
  3. Step 3: Cross multiply
    344,451x = 543,089 × 543,089
  4. Step 4: Simplify right side
    344,451x = 294,945,661,921
  5. Step 5: Solve for x
    x = 294,945,661,921/344,451
  6. Step 6: Final answer
    x = 856,277.56

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