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Finding the Third Proportional to 226,330 and 493,240

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Solution

The third proportional to 226,330 and 493,240 is: 1,074,915.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    226,330 : 493,240 = 493,240 : x
  2. Step 2: Convert to fraction form
    226,330/493,240 = 493,240/x
  3. Step 3: Cross multiply
    226,330x = 493,240 × 493,240
  4. Step 4: Simplify right side
    226,330x = 243,285,697,600
  5. Step 5: Solve for x
    x = 243,285,697,600/226,330
  6. Step 6: Final answer
    x = 1,074,915.82

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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.