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Finding the Third Proportional to 222,464 and 524,921

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Solution

The third proportional to 222,464 and 524,921 is: 1,238,591.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    222,464 : 524,921 = 524,921 : x
  2. Step 2: Convert to fraction form
    222,464/524,921 = 524,921/x
  3. Step 3: Cross multiply
    222,464x = 524,921 × 524,921
  4. Step 4: Simplify right side
    222,464x = 275,542,056,241
  5. Step 5: Solve for x
    x = 275,542,056,241/222,464
  6. Step 6: Final answer
    x = 1,238,591.67

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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.