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Finding the Third Proportional to 413,965.13 and 854,380.13

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Solution

The third proportional to 413,965.13 and 854,380.13 is: 1,763,349.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    413,965.13 : 854,380.13 = 854,380.13 : x
  2. Step 2: Convert to fraction form
    413,965.13/854,380.13 = 854,380.13/x
  3. Step 3: Cross multiply
    413,965.13x = 854,380.13 × 854,380.13
  4. Step 4: Simplify right side
    413,965.13x = 729,965,397,995.02
  5. Step 5: Solve for x
    x = 729,965,397,995.02/413,965.13
  6. Step 6: Final answer
    x = 1,763,349.99

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Why These Related Problems?

These problems maintain the same ratio (2.06) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.