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Finding the Third Proportional to 201,782 and 442,926

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Solution

The third proportional to 201,782 and 442,926 is: 972,254.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    201,782 : 442,926 = 442,926 : x
  2. Step 2: Convert to fraction form
    201,782/442,926 = 442,926/x
  3. Step 3: Cross multiply
    201,782x = 442,926 × 442,926
  4. Step 4: Simplify right side
    201,782x = 196,183,441,476
  5. Step 5: Solve for x
    x = 196,183,441,476/201,782
  6. Step 6: Final answer
    x = 972,254.42

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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.