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Finding the Third Proportional to 271,932.75 and 589,063.50

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Solution

The third proportional to 271,932.75 and 589,063.50 is: 1,276,035.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    271,932.75 : 589,063.50 = 589,063.50 : x
  2. Step 2: Convert to fraction form
    271,932.75/589,063.50 = 589,063.50/x
  3. Step 3: Cross multiply
    271,932.75x = 589,063.50 × 589,063.50
  4. Step 4: Simplify right side
    271,932.75x = 346,995,807,032.25
  5. Step 5: Solve for x
    x = 346,995,807,032.25/271,932.75
  6. Step 6: Final answer
    x = 1,276,035.37

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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.