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Finding the Third Proportional to 213,542 and 453,422

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Solution

The third proportional to 213,542 and 453,422 is: 962,768.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    213,542 : 453,422 = 453,422 : x
  2. Step 2: Convert to fraction form
    213,542/453,422 = 453,422/x
  3. Step 3: Cross multiply
    213,542x = 453,422 × 453,422
  4. Step 4: Simplify right side
    213,542x = 205,591,510,084
  5. Step 5: Solve for x
    x = 205,591,510,084/213,542
  6. Step 6: Final answer
    x = 962,768.50

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Why These Related Problems?

These problems maintain the same ratio (2.12) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.