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Finding the Third Proportional to 223,416 and 481,812

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Solution

The third proportional to 223,416 and 481,812 is: 1,039,060.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    223,416 : 481,812 = 481,812 : x
  2. Step 2: Convert to fraction form
    223,416/481,812 = 481,812/x
  3. Step 3: Cross multiply
    223,416x = 481,812 × 481,812
  4. Step 4: Simplify right side
    223,416x = 232,142,803,344
  5. Step 5: Solve for x
    x = 232,142,803,344/223,416
  6. Step 6: Final answer
    x = 1,039,060.78

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Why These Related Problems?

These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.