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Finding the Third Proportional to 271,794 and 399,702

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Solution

The third proportional to 271,794 and 399,702 is: 587,804.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    271,794 : 399,702 = 399,702 : x
  2. Step 2: Convert to fraction form
    271,794/399,702 = 399,702/x
  3. Step 3: Cross multiply
    271,794x = 399,702 × 399,702
  4. Step 4: Simplify right side
    271,794x = 159,761,688,804
  5. Step 5: Solve for x
    x = 159,761,688,804/271,794
  6. Step 6: Final answer
    x = 587,804.33

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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.