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Finding the Third Proportional to 238,841 and 503,602

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Solution

The third proportional to 238,841 and 503,602 is: 1,061,856.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    238,841 : 503,602 = 503,602 : x
  2. Step 2: Convert to fraction form
    238,841/503,602 = 503,602/x
  3. Step 3: Cross multiply
    238,841x = 503,602 × 503,602
  4. Step 4: Simplify right side
    238,841x = 253,614,974,404
  5. Step 5: Solve for x
    x = 253,614,974,404/238,841
  6. Step 6: Final answer
    x = 1,061,856.94

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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.