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Finding the Third Proportional to 273,088 and 567,976

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Solution

The third proportional to 273,088 and 567,976 is: 1,181,292.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    273,088 : 567,976 = 567,976 : x
  2. Step 2: Convert to fraction form
    273,088/567,976 = 567,976/x
  3. Step 3: Cross multiply
    273,088x = 567,976 × 567,976
  4. Step 4: Simplify right side
    273,088x = 322,596,736,576
  5. Step 5: Solve for x
    x = 322,596,736,576/273,088
  6. Step 6: Final answer
    x = 1,181,292.24

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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.