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Finding the Third Proportional to 201,982 and 439,433

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Solution

The third proportional to 201,982 and 439,433 is: 956,032.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    201,982 : 439,433 = 439,433 : x
  2. Step 2: Convert to fraction form
    201,982/439,433 = 439,433/x
  3. Step 3: Cross multiply
    201,982x = 439,433 × 439,433
  4. Step 4: Simplify right side
    201,982x = 193,101,361,489
  5. Step 5: Solve for x
    x = 193,101,361,489/201,982
  6. Step 6: Final answer
    x = 956,032.53

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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.