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Finding the Third Proportional to 238,869 and 522,038

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Solution

The third proportional to 238,869 and 522,038 is: 1,140,891.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    238,869 : 522,038 = 522,038 : x
  2. Step 2: Convert to fraction form
    238,869/522,038 = 522,038/x
  3. Step 3: Cross multiply
    238,869x = 522,038 × 522,038
  4. Step 4: Simplify right side
    238,869x = 272,523,673,444
  5. Step 5: Solve for x
    x = 272,523,673,444/238,869
  6. Step 6: Final answer
    x = 1,140,891.76

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Why These Related Problems?

These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.