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Finding the Third Proportional to 201,542 and 442,826

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Solution

The third proportional to 201,542 and 442,826 is: 972,972.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    201,542 : 442,826 = 442,826 : x
  2. Step 2: Convert to fraction form
    201,542/442,826 = 442,826/x
  3. Step 3: Cross multiply
    201,542x = 442,826 × 442,826
  4. Step 4: Simplify right side
    201,542x = 196,094,866,276
  5. Step 5: Solve for x
    x = 196,094,866,276/201,542
  6. Step 6: Final answer
    x = 972,972.71

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Why These Related Problems?

These problems maintain the same ratio (2.20) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.