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Finding the Third Proportional to 222,998 and 474,813

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Solution

The third proportional to 222,998 and 474,813 is: 1,010,983.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    222,998 : 474,813 = 474,813 : x
  2. Step 2: Convert to fraction form
    222,998/474,813 = 474,813/x
  3. Step 3: Cross multiply
    222,998x = 474,813 × 474,813
  4. Step 4: Simplify right side
    222,998x = 225,447,384,969
  5. Step 5: Solve for x
    x = 225,447,384,969/222,998
  6. Step 6: Final answer
    x = 1,010,983.89

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Why These Related Problems?

These problems maintain the same ratio (2.13) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.