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Finding the Third Proportional to 226,466.25 and 462,760.50

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Solution

The third proportional to 226,466.25 and 462,760.50 is: 945,603.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    226,466.25 : 462,760.50 = 462,760.50 : x
  2. Step 2: Convert to fraction form
    226,466.25/462,760.50 = 462,760.50/x
  3. Step 3: Cross multiply
    226,466.25x = 462,760.50 × 462,760.50
  4. Step 4: Simplify right side
    226,466.25x = 214,147,280,360.25
  5. Step 5: Solve for x
    x = 214,147,280,360.25/226,466.25
  6. Step 6: Final answer
    x = 945,603.51

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Why These Related Problems?

These problems maintain the same ratio (2.04) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.