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Finding the Third Proportional to 407,788 and 959,444

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Solution

The third proportional to 407,788 and 959,444 is: 2,257,380.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    407,788 : 959,444 = 959,444 : x
  2. Step 2: Convert to fraction form
    407,788/959,444 = 959,444/x
  3. Step 3: Cross multiply
    407,788x = 959,444 × 959,444
  4. Step 4: Simplify right side
    407,788x = 920,532,789,136
  5. Step 5: Solve for x
    x = 920,532,789,136/407,788
  6. Step 6: Final answer
    x = 2,257,380.77

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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.