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Finding the Third Proportional to 411,954 and 587,972

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Solution

The third proportional to 411,954 and 587,972 is: 839,198.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    411,954 : 587,972 = 587,972 : x
  2. Step 2: Convert to fraction form
    411,954/587,972 = 587,972/x
  3. Step 3: Cross multiply
    411,954x = 587,972 × 587,972
  4. Step 4: Simplify right side
    411,954x = 345,711,072,784
  5. Step 5: Solve for x
    x = 345,711,072,784/411,954
  6. Step 6: Final answer
    x = 839,198.24

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Why These Related Problems?

These problems maintain the same ratio (1.43) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.