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Finding the Third Proportional to 411,544 and 587,379

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Solution

The third proportional to 411,544 and 587,379 is: 838,340.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    411,544 : 587,379 = 587,379 : x
  2. Step 2: Convert to fraction form
    411,544/587,379 = 587,379/x
  3. Step 3: Cross multiply
    411,544x = 587,379 × 587,379
  4. Step 4: Simplify right side
    411,544x = 345,014,089,641
  5. Step 5: Solve for x
    x = 345,014,089,641/411,544
  6. Step 6: Final answer
    x = 838,340.71

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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.