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Finding the Third Proportional to 253,110 and 534,679.50

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Solution

The third proportional to 253,110 and 534,679.50 is: 1,129,477.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    253,110 : 534,679.50 = 534,679.50 : x
  2. Step 2: Convert to fraction form
    253,110/534,679.50 = 534,679.50/x
  3. Step 3: Cross multiply
    253,110x = 534,679.50 × 534,679.50
  4. Step 4: Simplify right side
    253,110x = 285,882,167,720.25
  5. Step 5: Solve for x
    x = 285,882,167,720.25/253,110
  6. Step 6: Final answer
    x = 1,129,477.96

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These problems maintain the same ratio (2.11) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.