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Finding the Third Proportional to 401,912 and 545,848

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Solution

The third proportional to 401,912 and 545,848 is: 741,331.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    401,912 : 545,848 = 545,848 : x
  2. Step 2: Convert to fraction form
    401,912/545,848 = 545,848/x
  3. Step 3: Cross multiply
    401,912x = 545,848 × 545,848
  4. Step 4: Simplify right side
    401,912x = 297,950,039,104
  5. Step 5: Solve for x
    x = 297,950,039,104/401,912
  6. Step 6: Final answer
    x = 741,331.53

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These problems maintain the same ratio (1.36) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.