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Finding the Third Proportional to 335,694 and 512,307

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Solution

The third proportional to 335,694 and 512,307 is: 781,838.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    335,694 : 512,307 = 512,307 : x
  2. Step 2: Convert to fraction form
    335,694/512,307 = 512,307/x
  3. Step 3: Cross multiply
    335,694x = 512,307 × 512,307
  4. Step 4: Simplify right side
    335,694x = 262,458,462,249
  5. Step 5: Solve for x
    x = 262,458,462,249/335,694
  6. Step 6: Final answer
    x = 781,838.41

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Why These Related Problems?

These problems maintain the same ratio (1.53) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.