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Finding the Third Proportional to 241,212 and 509,180

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Solution

The third proportional to 241,212 and 509,180 is: 1,074,839.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    241,212 : 509,180 = 509,180 : x
  2. Step 2: Convert to fraction form
    241,212/509,180 = 509,180/x
  3. Step 3: Cross multiply
    241,212x = 509,180 × 509,180
  4. Step 4: Simplify right side
    241,212x = 259,264,272,400
  5. Step 5: Solve for x
    x = 259,264,272,400/241,212
  6. Step 6: Final answer
    x = 1,074,839.86

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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.