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Finding the Third Proportional to 226,362 and 491,724

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Solution

The third proportional to 226,362 and 491,724 is: 1,068,167.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    226,362 : 491,724 = 491,724 : x
  2. Step 2: Convert to fraction form
    226,362/491,724 = 491,724/x
  3. Step 3: Cross multiply
    226,362x = 491,724 × 491,724
  4. Step 4: Simplify right side
    226,362x = 241,792,492,176
  5. Step 5: Solve for x
    x = 241,792,492,176/226,362
  6. Step 6: Final answer
    x = 1,068,167.33

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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.