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Finding the Third Proportional to 271,431 and 438,817.50

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Solution

The third proportional to 271,431 and 438,817.50 is: 709,428.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    271,431 : 438,817.50 = 438,817.50 : x
  2. Step 2: Convert to fraction form
    271,431/438,817.50 = 438,817.50/x
  3. Step 3: Cross multiply
    271,431x = 438,817.50 × 438,817.50
  4. Step 4: Simplify right side
    271,431x = 192,560,798,306.25
  5. Step 5: Solve for x
    x = 192,560,798,306.25/271,431
  6. Step 6: Final answer
    x = 709,428.17

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These problems maintain the same ratio (1.62) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.