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Finding the Third Proportional to 543,141 and 821,700.75

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Solution

The third proportional to 543,141 and 821,700.75 is: 1,243,124.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    543,141 : 821,700.75 = 821,700.75 : x
  2. Step 2: Convert to fraction form
    543,141/821,700.75 = 821,700.75/x
  3. Step 3: Cross multiply
    543,141x = 821,700.75 × 821,700.75
  4. Step 4: Simplify right side
    543,141x = 675,192,122,550.56
  5. Step 5: Solve for x
    x = 675,192,122,550.56/543,141
  6. Step 6: Final answer
    x = 1,243,124.94

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These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.