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Finding the Third Proportional to 271,566 and 596,713.50

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Solution

The third proportional to 271,566 and 596,713.50 is: 1,311,161.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    271,566 : 596,713.50 = 596,713.50 : x
  2. Step 2: Convert to fraction form
    271,566/596,713.50 = 596,713.50/x
  3. Step 3: Cross multiply
    271,566x = 596,713.50 × 596,713.50
  4. Step 4: Simplify right side
    271,566x = 356,067,001,082.25
  5. Step 5: Solve for x
    x = 356,067,001,082.25/271,566
  6. Step 6: Final answer
    x = 1,311,161.93

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These problems maintain the same ratio (2.20) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.