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Finding the Third Proportional to 226,111 and 491,587

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Solution

The third proportional to 226,111 and 491,587 is: 1,068,757.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    226,111 : 491,587 = 491,587 : x
  2. Step 2: Convert to fraction form
    226,111/491,587 = 491,587/x
  3. Step 3: Cross multiply
    226,111x = 491,587 × 491,587
  4. Step 4: Simplify right side
    226,111x = 241,657,778,569
  5. Step 5: Solve for x
    x = 241,657,778,569/226,111
  6. Step 6: Final answer
    x = 1,068,757.29

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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.