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Finding the Third Proportional to 541,231.50 and 856,965

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Solution

The third proportional to 541,231.50 and 856,965 is: 1,356,885.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    541,231.50 : 856,965 = 856,965 : x
  2. Step 2: Convert to fraction form
    541,231.50/856,965 = 856,965/x
  3. Step 3: Cross multiply
    541,231.50x = 856,965 × 856,965
  4. Step 4: Simplify right side
    541,231.50x = 734,389,011,225
  5. Step 5: Solve for x
    x = 734,389,011,225/541,231.50
  6. Step 6: Final answer
    x = 1,356,885.20

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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.