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Finding the Third Proportional to 238,848 and 503,614

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Solution

The third proportional to 238,848 and 503,614 is: 1,061,876.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    238,848 : 503,614 = 503,614 : x
  2. Step 2: Convert to fraction form
    238,848/503,614 = 503,614/x
  3. Step 3: Cross multiply
    238,848x = 503,614 × 503,614
  4. Step 4: Simplify right side
    238,848x = 253,627,060,996
  5. Step 5: Solve for x
    x = 253,627,060,996/238,848
  6. Step 6: Final answer
    x = 1,061,876.43

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Why These Related Problems?

These problems maintain the same ratio (2.11) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.