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Finding the Third Proportional to 271,602 and 422,932.50

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Solution

The third proportional to 271,602 and 422,932.50 is: 658,580.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    271,602 : 422,932.50 = 422,932.50 : x
  2. Step 2: Convert to fraction form
    271,602/422,932.50 = 422,932.50/x
  3. Step 3: Cross multiply
    271,602x = 422,932.50 × 422,932.50
  4. Step 4: Simplify right side
    271,602x = 178,871,899,556.25
  5. Step 5: Solve for x
    x = 178,871,899,556.25/271,602
  6. Step 6: Final answer
    x = 658,580.94

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These problems maintain the same ratio (1.56) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.