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Finding the Third Proportional to 334,212.75 and 501,238.13

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Solution

The third proportional to 334,212.75 and 501,238.13 is: 751,735.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    334,212.75 : 501,238.13 = 501,238.13 : x
  2. Step 2: Convert to fraction form
    334,212.75/501,238.13 = 501,238.13/x
  3. Step 3: Cross multiply
    334,212.75x = 501,238.13 × 501,238.13
  4. Step 4: Simplify right side
    334,212.75x = 251,239,657,953.52
  5. Step 5: Solve for x
    x = 251,239,657,953.52/334,212.75
  6. Step 6: Final answer
    x = 751,735.71

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.