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Finding the Third Proportional to 225,311 and 482,606

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Solution

The third proportional to 225,311 and 482,606 is: 1,033,720.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    225,311 : 482,606 = 482,606 : x
  2. Step 2: Convert to fraction form
    225,311/482,606 = 482,606/x
  3. Step 3: Cross multiply
    225,311x = 482,606 × 482,606
  4. Step 4: Simplify right side
    225,311x = 232,908,551,236
  5. Step 5: Solve for x
    x = 232,908,551,236/225,311
  6. Step 6: Final answer
    x = 1,033,720.29

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Why These Related Problems?

These problems maintain the same ratio (2.14) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.