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Finding the Third Proportional to 406,356 and 959,325

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Solution

The third proportional to 406,356 and 959,325 is: 2,264,773.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    406,356 : 959,325 = 959,325 : x
  2. Step 2: Convert to fraction form
    406,356/959,325 = 959,325/x
  3. Step 3: Cross multiply
    406,356x = 959,325 × 959,325
  4. Step 4: Simplify right side
    406,356x = 920,304,455,625
  5. Step 5: Solve for x
    x = 920,304,455,625/406,356
  6. Step 6: Final answer
    x = 2,264,773.88

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Why These Related Problems?

These problems maintain the same ratio (2.36) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.