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Finding the Third Proportional to 222,568 and 471,623

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Solution

The third proportional to 222,568 and 471,623 is: 999,372.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    222,568 : 471,623 = 471,623 : x
  2. Step 2: Convert to fraction form
    222,568/471,623 = 471,623/x
  3. Step 3: Cross multiply
    222,568x = 471,623 × 471,623
  4. Step 4: Simplify right side
    222,568x = 222,428,254,129
  5. Step 5: Solve for x
    x = 222,428,254,129/222,568
  6. Step 6: Final answer
    x = 999,372.12

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Why These Related Problems?

These problems maintain the same ratio (2.12) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.