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Finding the Third Proportional to 349,713 and 540,067

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Solution

The third proportional to 349,713 and 540,067 is: 834,033.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    349,713 : 540,067 = 540,067 : x
  2. Step 2: Convert to fraction form
    349,713/540,067 = 540,067/x
  3. Step 3: Cross multiply
    349,713x = 540,067 × 540,067
  4. Step 4: Simplify right side
    349,713x = 291,672,364,489
  5. Step 5: Solve for x
    x = 291,672,364,489/349,713
  6. Step 6: Final answer
    x = 834,033.52

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Why These Related Problems?

These problems maintain the same ratio (1.54) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.