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Finding the Third Proportional to 222,597 and 524,933

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Solution

The third proportional to 222,597 and 524,933 is: 1,237,908.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    222,597 : 524,933 = 524,933 : x
  2. Step 2: Convert to fraction form
    222,597/524,933 = 524,933/x
  3. Step 3: Cross multiply
    222,597x = 524,933 × 524,933
  4. Step 4: Simplify right side
    222,597x = 275,554,654,489
  5. Step 5: Solve for x
    x = 275,554,654,489/222,597
  6. Step 6: Final answer
    x = 1,237,908.21

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Why These Related Problems?

These problems maintain the same ratio (2.36) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.