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Finding the Third Proportional to 238,430 and 517,866

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Solution

The third proportional to 238,430 and 517,866 is: 1,124,796.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    238,430 : 517,866 = 517,866 : x
  2. Step 2: Convert to fraction form
    238,430/517,866 = 517,866/x
  3. Step 3: Cross multiply
    238,430x = 517,866 × 517,866
  4. Step 4: Simplify right side
    238,430x = 268,185,193,956
  5. Step 5: Solve for x
    x = 268,185,193,956/238,430
  6. Step 6: Final answer
    x = 1,124,796.35

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Why These Related Problems?

These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.