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Finding the Third Proportional to 271,032 and 402,616

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Solution

The third proportional to 271,032 and 402,616 is: 598,083.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    271,032 : 402,616 = 402,616 : x
  2. Step 2: Convert to fraction form
    271,032/402,616 = 402,616/x
  3. Step 3: Cross multiply
    271,032x = 402,616 × 402,616
  4. Step 4: Simplify right side
    271,032x = 162,099,643,456
  5. Step 5: Solve for x
    x = 162,099,643,456/271,032
  6. Step 6: Final answer
    x = 598,083.04

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.