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Finding the Third Proportional to 541,014 and 844,274.50

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Solution

The third proportional to 541,014 and 844,274.50 is: 1,317,524.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    541,014 : 844,274.50 = 844,274.50 : x
  2. Step 2: Convert to fraction form
    541,014/844,274.50 = 844,274.50/x
  3. Step 3: Cross multiply
    541,014x = 844,274.50 × 844,274.50
  4. Step 4: Simplify right side
    541,014x = 712,799,431,350.25
  5. Step 5: Solve for x
    x = 712,799,431,350.25/541,014
  6. Step 6: Final answer
    x = 1,317,524.93

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These problems maintain the same ratio (1.56) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.