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Finding the Third Proportional to 252,498 and 547,916

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Solution

The third proportional to 252,498 and 547,916 is: 1,188,967.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    252,498 : 547,916 = 547,916 : x
  2. Step 2: Convert to fraction form
    252,498/547,916 = 547,916/x
  3. Step 3: Cross multiply
    252,498x = 547,916 × 547,916
  4. Step 4: Simplify right side
    252,498x = 300,211,943,056
  5. Step 5: Solve for x
    x = 300,211,943,056/252,498
  6. Step 6: Final answer
    x = 1,188,967.61

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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.