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Finding the Third Proportional to 271,414.13 and 399,010.50

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Solution

The third proportional to 271,414.13 and 399,010.50 is: 586,592.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    271,414.13 : 399,010.50 = 399,010.50 : x
  2. Step 2: Convert to fraction form
    271,414.13/399,010.50 = 399,010.50/x
  3. Step 3: Cross multiply
    271,414.13x = 399,010.50 × 399,010.50
  4. Step 4: Simplify right side
    271,414.13x = 159,209,379,110.25
  5. Step 5: Solve for x
    x = 159,209,379,110.25/271,414.13
  6. Step 6: Final answer
    x = 586,592.09

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Why These Related Problems?

These problems maintain the same ratio (1.47) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.