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Finding the Third Proportional to 271,312.31 and 589,331.25

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Solution

The third proportional to 271,312.31 and 589,331.25 is: 1,280,116.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    271,312.31 : 589,331.25 = 589,331.25 : x
  2. Step 2: Convert to fraction form
    271,312.31/589,331.25 = 589,331.25/x
  3. Step 3: Cross multiply
    271,312.31x = 589,331.25 × 589,331.25
  4. Step 4: Simplify right side
    271,312.31x = 347,311,322,226.56
  5. Step 5: Solve for x
    x = 347,311,322,226.56/271,312.31
  6. Step 6: Final answer
    x = 1,280,116.33

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Why These Related Problems?

These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.