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Finding the Third Proportional to 543,814 and 827,242

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Solution

The third proportional to 543,814 and 827,242 is: 1,258,388.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    543,814 : 827,242 = 827,242 : x
  2. Step 2: Convert to fraction form
    543,814/827,242 = 827,242/x
  3. Step 3: Cross multiply
    543,814x = 827,242 × 827,242
  4. Step 4: Simplify right side
    543,814x = 684,329,326,564
  5. Step 5: Solve for x
    x = 684,329,326,564/543,814
  6. Step 6: Final answer
    x = 1,258,388.58

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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.