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Finding the Third Proportional to 251,796 and 543,807

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Solution

The third proportional to 251,796 and 543,807 is: 1,174,466.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    251,796 : 543,807 = 543,807 : x
  2. Step 2: Convert to fraction form
    251,796/543,807 = 543,807/x
  3. Step 3: Cross multiply
    251,796x = 543,807 × 543,807
  4. Step 4: Simplify right side
    251,796x = 295,726,053,249
  5. Step 5: Solve for x
    x = 295,726,053,249/251,796
  6. Step 6: Final answer
    x = 1,174,466.84

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Why These Related Problems?

These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.