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Finding the Third Proportional to 241,354.13 and 520,647.75

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Solution

The third proportional to 241,354.13 and 520,647.75 is: 1,123,138.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    241,354.13 : 520,647.75 = 520,647.75 : x
  2. Step 2: Convert to fraction form
    241,354.13/520,647.75 = 520,647.75/x
  3. Step 3: Cross multiply
    241,354.13x = 520,647.75 × 520,647.75
  4. Step 4: Simplify right side
    241,354.13x = 271,074,079,580.06
  5. Step 5: Solve for x
    x = 271,074,079,580.06/241,354.13
  6. Step 6: Final answer
    x = 1,123,138.37

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These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.