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Finding the Third Proportional to 201,543 and 439,925

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Solution

The third proportional to 201,543 and 439,925 is: 960,261.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    201,543 : 439,925 = 439,925 : x
  2. Step 2: Convert to fraction form
    201,543/439,925 = 439,925/x
  3. Step 3: Cross multiply
    201,543x = 439,925 × 439,925
  4. Step 4: Simplify right side
    201,543x = 193,534,005,625
  5. Step 5: Solve for x
    x = 193,534,005,625/201,543
  6. Step 6: Final answer
    x = 960,261.61

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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.