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Finding the Third Proportional to 273,028 and 567,854

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Solution

The third proportional to 273,028 and 567,854 is: 1,181,044.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    273,028 : 567,854 = 567,854 : x
  2. Step 2: Convert to fraction form
    273,028/567,854 = 567,854/x
  3. Step 3: Cross multiply
    273,028x = 567,854 × 567,854
  4. Step 4: Simplify right side
    273,028x = 322,458,165,316
  5. Step 5: Solve for x
    x = 322,458,165,316/273,028
  6. Step 6: Final answer
    x = 1,181,044.31

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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.