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Finding the Third Proportional to 296,067 and 427,334

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Solution

The third proportional to 296,067 and 427,334 is: 616,800.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    296,067 : 427,334 = 427,334 : x
  2. Step 2: Convert to fraction form
    296,067/427,334 = 427,334/x
  3. Step 3: Cross multiply
    296,067x = 427,334 × 427,334
  4. Step 4: Simplify right side
    296,067x = 182,614,347,556
  5. Step 5: Solve for x
    x = 182,614,347,556/296,067
  6. Step 6: Final answer
    x = 616,800.75

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Why These Related Problems?

These problems maintain the same ratio (1.44) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.