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Finding the Third Proportional to 349,074.75 and 533,764.13

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Solution

The third proportional to 349,074.75 and 533,764.13 is: 816,169.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    349,074.75 : 533,764.13 = 533,764.13 : x
  2. Step 2: Convert to fraction form
    349,074.75/533,764.13 = 533,764.13/x
  3. Step 3: Cross multiply
    349,074.75x = 533,764.13 × 533,764.13
  4. Step 4: Simplify right side
    349,074.75x = 284,904,141,137.02
  5. Step 5: Solve for x
    x = 284,904,141,137.02/349,074.75
  6. Step 6: Final answer
    x = 816,169.43

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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.