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Finding the Third Proportional to 226,712.81 and 494,871.75

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Solution

The third proportional to 226,712.81 and 494,871.75 is: 1,080,212.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    226,712.81 : 494,871.75 = 494,871.75 : x
  2. Step 2: Convert to fraction form
    226,712.81/494,871.75 = 494,871.75/x
  3. Step 3: Cross multiply
    226,712.81x = 494,871.75 × 494,871.75
  4. Step 4: Simplify right side
    226,712.81x = 244,898,048,948.06
  5. Step 5: Solve for x
    x = 244,898,048,948.06/226,712.81
  6. Step 6: Final answer
    x = 1,080,212.65

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.