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Finding the Third Proportional to 241,022 and 509,132

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Solution

The third proportional to 241,022 and 509,132 is: 1,075,484.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    241,022 : 509,132 = 509,132 : x
  2. Step 2: Convert to fraction form
    241,022/509,132 = 509,132/x
  3. Step 3: Cross multiply
    241,022x = 509,132 × 509,132
  4. Step 4: Simplify right side
    241,022x = 259,215,393,424
  5. Step 5: Solve for x
    x = 259,215,393,424/241,022
  6. Step 6: Final answer
    x = 1,075,484.37

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Why These Related Problems?

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