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Finding the Third Proportional to 222,588 and 524,919

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Solution

The third proportional to 222,588 and 524,919 is: 1,237,892.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    222,588 : 524,919 = 524,919 : x
  2. Step 2: Convert to fraction form
    222,588/524,919 = 524,919/x
  3. Step 3: Cross multiply
    222,588x = 524,919 × 524,919
  4. Step 4: Simplify right side
    222,588x = 275,539,956,561
  5. Step 5: Solve for x
    x = 275,539,956,561/222,588
  6. Step 6: Final answer
    x = 1,237,892.23

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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.