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Finding the Third Proportional to 271,252.13 and 409,336.88

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Solution

The third proportional to 271,252.13 and 409,336.88 is: 617,715.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    271,252.13 : 409,336.88 = 409,336.88 : x
  2. Step 2: Convert to fraction form
    271,252.13/409,336.88 = 409,336.88/x
  3. Step 3: Cross multiply
    271,252.13x = 409,336.88 × 409,336.88
  4. Step 4: Simplify right side
    271,252.13x = 167,556,677,234.77
  5. Step 5: Solve for x
    x = 167,556,677,234.77/271,252.13
  6. Step 6: Final answer
    x = 617,715.63

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These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.