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Finding the Third Proportional to 271,740 and 590,227.50

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Solution

The third proportional to 271,740 and 590,227.50 is: 1,281,991.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    271,740 : 590,227.50 = 590,227.50 : x
  2. Step 2: Convert to fraction form
    271,740/590,227.50 = 590,227.50/x
  3. Step 3: Cross multiply
    271,740x = 590,227.50 × 590,227.50
  4. Step 4: Simplify right side
    271,740x = 348,368,501,756.25
  5. Step 5: Solve for x
    x = 348,368,501,756.25/271,740
  6. Step 6: Final answer
    x = 1,281,991.98

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These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.