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Finding the Third Proportional to 226,732 and 493,208

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Solution

The third proportional to 226,732 and 493,208 is: 1,072,870.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    226,732 : 493,208 = 493,208 : x
  2. Step 2: Convert to fraction form
    226,732/493,208 = 493,208/x
  3. Step 3: Cross multiply
    226,732x = 493,208 × 493,208
  4. Step 4: Simplify right side
    226,732x = 243,254,131,264
  5. Step 5: Solve for x
    x = 243,254,131,264/226,732
  6. Step 6: Final answer
    x = 1,072,870.75

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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.