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Finding the Third Proportional to 543,802 and 827,224

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Solution

The third proportional to 543,802 and 827,224 is: 1,258,361.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    543,802 : 827,224 = 827,224 : x
  2. Step 2: Convert to fraction form
    543,802/827,224 = 827,224/x
  3. Step 3: Cross multiply
    543,802x = 827,224 × 827,224
  4. Step 4: Simplify right side
    543,802x = 684,299,546,176
  5. Step 5: Solve for x
    x = 684,299,546,176/543,802
  6. Step 6: Final answer
    x = 1,258,361.58

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Why These Related Problems?

These problems maintain the same ratio (1.52) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.