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Finding the Third Proportional to 241,013 and 509,116

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Solution

The third proportional to 241,013 and 509,116 is: 1,075,456.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    241,013 : 509,116 = 509,116 : x
  2. Step 2: Convert to fraction form
    241,013/509,116 = 509,116/x
  3. Step 3: Cross multiply
    241,013x = 509,116 × 509,116
  4. Step 4: Simplify right side
    241,013x = 259,199,101,456
  5. Step 5: Solve for x
    x = 259,199,101,456/241,013
  6. Step 6: Final answer
    x = 1,075,456.93

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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.