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Finding the Third Proportional to 407,578 and 959,012

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Solution

The third proportional to 407,578 and 959,012 is: 2,256,510.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    407,578 : 959,012 = 959,012 : x
  2. Step 2: Convert to fraction form
    407,578/959,012 = 959,012/x
  3. Step 3: Cross multiply
    407,578x = 959,012 × 959,012
  4. Step 4: Simplify right side
    407,578x = 919,704,016,144
  5. Step 5: Solve for x
    x = 919,704,016,144/407,578
  6. Step 6: Final answer
    x = 2,256,510.45

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Why These Related Problems?

These problems maintain the same ratio (2.35) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.