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Finding the Third Proportional to 221,019 and 482,523

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Solution

The third proportional to 221,019 and 482,523 is: 1,053,431.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    221,019 : 482,523 = 482,523 : x
  2. Step 2: Convert to fraction form
    221,019/482,523 = 482,523/x
  3. Step 3: Cross multiply
    221,019x = 482,523 × 482,523
  4. Step 4: Simplify right side
    221,019x = 232,828,445,529
  5. Step 5: Solve for x
    x = 232,828,445,529/221,019
  6. Step 6: Final answer
    x = 1,053,431.81

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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.