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Finding the Third Proportional to 221,244 and 520,057

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Solution

The third proportional to 221,244 and 520,057 is: 1,222,447.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    221,244 : 520,057 = 520,057 : x
  2. Step 2: Convert to fraction form
    221,244/520,057 = 520,057/x
  3. Step 3: Cross multiply
    221,244x = 520,057 × 520,057
  4. Step 4: Simplify right side
    221,244x = 270,459,283,249
  5. Step 5: Solve for x
    x = 270,459,283,249/221,244
  6. Step 6: Final answer
    x = 1,222,447.99

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Why These Related Problems?

These problems maintain the same ratio (2.35) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.