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Finding the Third Proportional to 241,723 and 531,302

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Solution

The third proportional to 241,723 and 531,302 is: 1,167,790.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    241,723 : 531,302 = 531,302 : x
  2. Step 2: Convert to fraction form
    241,723/531,302 = 531,302/x
  3. Step 3: Cross multiply
    241,723x = 531,302 × 531,302
  4. Step 4: Simplify right side
    241,723x = 282,281,815,204
  5. Step 5: Solve for x
    x = 282,281,815,204/241,723
  6. Step 6: Final answer
    x = 1,167,790.47

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These problems maintain the same ratio (2.20) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.