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Finding the Third Proportional to 213,366 and 458,372

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Solution

The third proportional to 213,366 and 458,372 is: 984,715.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    213,366 : 458,372 = 458,372 : x
  2. Step 2: Convert to fraction form
    213,366/458,372 = 458,372/x
  3. Step 3: Cross multiply
    213,366x = 458,372 × 458,372
  4. Step 4: Simplify right side
    213,366x = 210,104,890,384
  5. Step 5: Solve for x
    x = 210,104,890,384/213,366
  6. Step 6: Final answer
    x = 984,715.89

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Why These Related Problems?

These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.