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Finding the Third Proportional to 201,516 and 439,962

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Solution

The third proportional to 201,516 and 439,962 is: 960,551.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    201,516 : 439,962 = 439,962 : x
  2. Step 2: Convert to fraction form
    201,516/439,962 = 439,962/x
  3. Step 3: Cross multiply
    201,516x = 439,962 × 439,962
  4. Step 4: Simplify right side
    201,516x = 193,566,561,444
  5. Step 5: Solve for x
    x = 193,566,561,444/201,516
  6. Step 6: Final answer
    x = 960,551.82

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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.