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Finding the Third Proportional to 541,857 and 843,805.50

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Solution

The third proportional to 541,857 and 843,805.50 is: 1,314,014.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    541,857 : 843,805.50 = 843,805.50 : x
  2. Step 2: Convert to fraction form
    541,857/843,805.50 = 843,805.50/x
  3. Step 3: Cross multiply
    541,857x = 843,805.50 × 843,805.50
  4. Step 4: Simplify right side
    541,857x = 712,007,721,830.25
  5. Step 5: Solve for x
    x = 712,007,721,830.25/541,857
  6. Step 6: Final answer
    x = 1,314,014.07

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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.