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Finding the Third Proportional to 252,484 and 543,116

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Solution

The third proportional to 252,484 and 543,116 is: 1,168,291.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    252,484 : 543,116 = 543,116 : x
  2. Step 2: Convert to fraction form
    252,484/543,116 = 543,116/x
  3. Step 3: Cross multiply
    252,484x = 543,116 × 543,116
  4. Step 4: Simplify right side
    252,484x = 294,974,989,456
  5. Step 5: Solve for x
    x = 294,974,989,456/252,484
  6. Step 6: Final answer
    x = 1,168,291.81

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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.