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Finding the Third Proportional to 227,777 and 498,458

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Solution

The third proportional to 227,777 and 498,458 is: 1,090,805.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    227,777 : 498,458 = 498,458 : x
  2. Step 2: Convert to fraction form
    227,777/498,458 = 498,458/x
  3. Step 3: Cross multiply
    227,777x = 498,458 × 498,458
  4. Step 4: Simplify right side
    227,777x = 248,460,377,764
  5. Step 5: Solve for x
    x = 248,460,377,764/227,777
  6. Step 6: Final answer
    x = 1,090,805.38

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Why These Related Problems?

These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.