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Finding the Third Proportional to 201,797 and 439,063

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Solution

The third proportional to 201,797 and 439,063 is: 955,298.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    201,797 : 439,063 = 439,063 : x
  2. Step 2: Convert to fraction form
    201,797/439,063 = 439,063/x
  3. Step 3: Cross multiply
    201,797x = 439,063 × 439,063
  4. Step 4: Simplify right side
    201,797x = 192,776,317,969
  5. Step 5: Solve for x
    x = 192,776,317,969/201,797
  6. Step 6: Final answer
    x = 955,298.24

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.