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Finding the Third Proportional to 271,477.50 and 596,493

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Solution

The third proportional to 271,477.50 and 596,493 is: 1,310,620.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    271,477.50 : 596,493 = 596,493 : x
  2. Step 2: Convert to fraction form
    271,477.50/596,493 = 596,493/x
  3. Step 3: Cross multiply
    271,477.50x = 596,493 × 596,493
  4. Step 4: Simplify right side
    271,477.50x = 355,803,899,049
  5. Step 5: Solve for x
    x = 355,803,899,049/271,477.50
  6. Step 6: Final answer
    x = 1,310,620.21

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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.