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Finding the Third Proportional to 282,058 and 587,443

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Solution

The third proportional to 282,058 and 587,443 is: 1,223,469.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    282,058 : 587,443 = 587,443 : x
  2. Step 2: Convert to fraction form
    282,058/587,443 = 587,443/x
  3. Step 3: Cross multiply
    282,058x = 587,443 × 587,443
  4. Step 4: Simplify right side
    282,058x = 345,089,278,249
  5. Step 5: Solve for x
    x = 345,089,278,249/282,058
  6. Step 6: Final answer
    x = 1,223,469.21

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Why These Related Problems?

These problems maintain the same ratio (2.08) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.