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Finding the Third Proportional to 221,233 and 520,033

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Solution

The third proportional to 221,233 and 520,033 is: 1,222,395.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    221,233 : 520,033 = 520,033 : x
  2. Step 2: Convert to fraction form
    221,233/520,033 = 520,033/x
  3. Step 3: Cross multiply
    221,233x = 520,033 × 520,033
  4. Step 4: Simplify right side
    221,233x = 270,434,321,089
  5. Step 5: Solve for x
    x = 270,434,321,089/221,233
  6. Step 6: Final answer
    x = 1,222,395.94

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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.