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Finding the Third Proportional to 273,052 and 567,896

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Solution

The third proportional to 273,052 and 567,896 is: 1,181,115.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    273,052 : 567,896 = 567,896 : x
  2. Step 2: Convert to fraction form
    273,052/567,896 = 567,896/x
  3. Step 3: Cross multiply
    273,052x = 567,896 × 567,896
  4. Step 4: Simplify right side
    273,052x = 322,505,866,816
  5. Step 5: Solve for x
    x = 322,505,866,816/273,052
  6. Step 6: Final answer
    x = 1,181,115.20

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Why These Related Problems?

These problems maintain the same ratio (2.08) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.