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Finding the Third Proportional to 226,089 and 491,058

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Solution

The third proportional to 226,089 and 491,058 is: 1,066,562.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    226,089 : 491,058 = 491,058 : x
  2. Step 2: Convert to fraction form
    226,089/491,058 = 491,058/x
  3. Step 3: Cross multiply
    226,089x = 491,058 × 491,058
  4. Step 4: Simplify right side
    226,089x = 241,137,959,364
  5. Step 5: Solve for x
    x = 241,137,959,364/226,089
  6. Step 6: Final answer
    x = 1,066,562.10

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Why These Related Problems?

These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.