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Finding the Third Proportional to 252,864 and 543,224

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Solution

The third proportional to 252,864 and 543,224 is: 1,167,000.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    252,864 : 543,224 = 543,224 : x
  2. Step 2: Convert to fraction form
    252,864/543,224 = 543,224/x
  3. Step 3: Cross multiply
    252,864x = 543,224 × 543,224
  4. Step 4: Simplify right side
    252,864x = 295,092,314,176
  5. Step 5: Solve for x
    x = 295,092,314,176/252,864
  6. Step 6: Final answer
    x = 1,167,000.10

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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.