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Finding the Third Proportional to 241,704 and 531,738

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Solution

The third proportional to 241,704 and 531,738 is: 1,169,799.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    241,704 : 531,738 = 531,738 : x
  2. Step 2: Convert to fraction form
    241,704/531,738 = 531,738/x
  3. Step 3: Cross multiply
    241,704x = 531,738 × 531,738
  4. Step 4: Simplify right side
    241,704x = 282,745,300,644
  5. Step 5: Solve for x
    x = 282,745,300,644/241,704
  6. Step 6: Final answer
    x = 1,169,799.84

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Why These Related Problems?

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