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Finding the Third Proportional to 201,769 and 442,722

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Solution

The third proportional to 201,769 and 442,722 is: 971,421.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    201,769 : 442,722 = 442,722 : x
  2. Step 2: Convert to fraction form
    201,769/442,722 = 442,722/x
  3. Step 3: Cross multiply
    201,769x = 442,722 × 442,722
  4. Step 4: Simplify right side
    201,769x = 196,002,769,284
  5. Step 5: Solve for x
    x = 196,002,769,284/201,769
  6. Step 6: Final answer
    x = 971,421.62

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Why These Related Problems?

These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.