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Finding the Third Proportional to 201,539 and 439,919

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Solution

The third proportional to 201,539 and 439,919 is: 960,254.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    201,539 : 439,919 = 439,919 : x
  2. Step 2: Convert to fraction form
    201,539/439,919 = 439,919/x
  3. Step 3: Cross multiply
    201,539x = 439,919 × 439,919
  4. Step 4: Simplify right side
    201,539x = 193,528,726,561
  5. Step 5: Solve for x
    x = 193,528,726,561/201,539
  6. Step 6: Final answer
    x = 960,254.47

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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.