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Finding the Third Proportional to 541,274 and 756,734

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Solution

The third proportional to 541,274 and 756,734 is: 1,057,960.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    541,274 : 756,734 = 756,734 : x
  2. Step 2: Convert to fraction form
    541,274/756,734 = 756,734/x
  3. Step 3: Cross multiply
    541,274x = 756,734 × 756,734
  4. Step 4: Simplify right side
    541,274x = 572,646,346,756
  5. Step 5: Solve for x
    x = 572,646,346,756/541,274
  6. Step 6: Final answer
    x = 1,057,960.20

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These problems maintain the same ratio (1.40) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.