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Finding the Third Proportional to 226,532.25 and 493,060.50

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Solution

The third proportional to 226,532.25 and 493,060.50 is: 1,073,174.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    226,532.25 : 493,060.50 = 493,060.50 : x
  2. Step 2: Convert to fraction form
    226,532.25/493,060.50 = 493,060.50/x
  3. Step 3: Cross multiply
    226,532.25x = 493,060.50 × 493,060.50
  4. Step 4: Simplify right side
    226,532.25x = 243,108,656,660.25
  5. Step 5: Solve for x
    x = 243,108,656,660.25/226,532.25
  6. Step 6: Final answer
    x = 1,073,174.60

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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.