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Finding the Third Proportional to 403,704 and 960,012

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Solution

The third proportional to 403,704 and 960,012 is: 2,282,917.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    403,704 : 960,012 = 960,012 : x
  2. Step 2: Convert to fraction form
    403,704/960,012 = 960,012/x
  3. Step 3: Cross multiply
    403,704x = 960,012 × 960,012
  4. Step 4: Simplify right side
    403,704x = 921,623,040,144
  5. Step 5: Solve for x
    x = 921,623,040,144/403,704
  6. Step 6: Final answer
    x = 2,282,917.78

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Why These Related Problems?

These problems maintain the same ratio (2.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.