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Finding the Third Proportional to 238,871 and 519,889

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Solution

The third proportional to 238,871 and 519,889 is: 1,131,508.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    238,871 : 519,889 = 519,889 : x
  2. Step 2: Convert to fraction form
    238,871/519,889 = 519,889/x
  3. Step 3: Cross multiply
    238,871x = 519,889 × 519,889
  4. Step 4: Simplify right side
    238,871x = 270,284,572,321
  5. Step 5: Solve for x
    x = 270,284,572,321/238,871
  6. Step 6: Final answer
    x = 1,131,508.52

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.