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Finding the Third Proportional to 201,069 and 441,987

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Solution

The third proportional to 201,069 and 441,987 is: 971,569.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    201,069 : 441,987 = 441,987 : x
  2. Step 2: Convert to fraction form
    201,069/441,987 = 441,987/x
  3. Step 3: Cross multiply
    201,069x = 441,987 × 441,987
  4. Step 4: Simplify right side
    201,069x = 195,352,508,169
  5. Step 5: Solve for x
    x = 195,352,508,169/201,069
  6. Step 6: Final answer
    x = 971,569.50

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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.