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Finding the Third Proportional to 241,716 and 531,762

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Solution

The third proportional to 241,716 and 531,762 is: 1,169,847.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    241,716 : 531,762 = 531,762 : x
  2. Step 2: Convert to fraction form
    241,716/531,762 = 531,762/x
  3. Step 3: Cross multiply
    241,716x = 531,762 × 531,762
  4. Step 4: Simplify right side
    241,716x = 282,770,824,644
  5. Step 5: Solve for x
    x = 282,770,824,644/241,716
  6. Step 6: Final answer
    x = 1,169,847.36

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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.