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Finding the Third Proportional to 201,652.03 and 439,987.57

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Solution

The third proportional to 201,652.03 and 439,987.57 is: 960,015.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    201,652.03 : 439,987.57 = 439,987.57 : x
  2. Step 2: Convert to fraction form
    201,652.03/439,987.57 = 439,987.57/x
  3. Step 3: Cross multiply
    201,652.03x = 439,987.57 × 439,987.57
  4. Step 4: Simplify right side
    201,652.03x = 193,589,062,029.50
  5. Step 5: Solve for x
    x = 193,589,062,029.50/201,652.03
  6. Step 6: Final answer
    x = 960,015.43

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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.