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Finding the Third Proportional to 252,408 and 543,696

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Solution

The third proportional to 252,408 and 543,696 is: 1,171,140.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    252,408 : 543,696 = 543,696 : x
  2. Step 2: Convert to fraction form
    252,408/543,696 = 543,696/x
  3. Step 3: Cross multiply
    252,408x = 543,696 × 543,696
  4. Step 4: Simplify right side
    252,408x = 295,605,340,416
  5. Step 5: Solve for x
    x = 295,605,340,416/252,408
  6. Step 6: Final answer
    x = 1,171,140.93

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Why These Related Problems?

These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.