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Finding the Third Proportional to 407,780 and 959,425

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Solution

The third proportional to 407,780 and 959,425 is: 2,257,335.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    407,780 : 959,425 = 959,425 : x
  2. Step 2: Convert to fraction form
    407,780/959,425 = 959,425/x
  3. Step 3: Cross multiply
    407,780x = 959,425 × 959,425
  4. Step 4: Simplify right side
    407,780x = 920,496,330,625
  5. Step 5: Solve for x
    x = 920,496,330,625/407,780
  6. Step 6: Final answer
    x = 2,257,335.65

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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.