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Finding the Third Proportional to 541,597 and 757,149

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Solution

The third proportional to 541,597 and 757,149 is: 1,058,489.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    541,597 : 757,149 = 757,149 : x
  2. Step 2: Convert to fraction form
    541,597/757,149 = 757,149/x
  3. Step 3: Cross multiply
    541,597x = 757,149 × 757,149
  4. Step 4: Simplify right side
    541,597x = 573,274,608,201
  5. Step 5: Solve for x
    x = 573,274,608,201/541,597
  6. Step 6: Final answer
    x = 1,058,489.26

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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.