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Finding the Third Proportional to 221,497 and 480,051

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Solution

The third proportional to 221,497 and 480,051 is: 1,040,415.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    221,497 : 480,051 = 480,051 : x
  2. Step 2: Convert to fraction form
    221,497/480,051 = 480,051/x
  3. Step 3: Cross multiply
    221,497x = 480,051 × 480,051
  4. Step 4: Simplify right side
    221,497x = 230,448,962,601
  5. Step 5: Solve for x
    x = 230,448,962,601/221,497
  6. Step 6: Final answer
    x = 1,040,415.73

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Why These Related Problems?

These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.