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Finding the Third Proportional to 271,388.25 and 593,077.50

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Solution

The third proportional to 271,388.25 and 593,077.50 is: 1,296,080.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    271,388.25 : 593,077.50 = 593,077.50 : x
  2. Step 2: Convert to fraction form
    271,388.25/593,077.50 = 593,077.50/x
  3. Step 3: Cross multiply
    271,388.25x = 593,077.50 × 593,077.50
  4. Step 4: Simplify right side
    271,388.25x = 351,740,921,006.25
  5. Step 5: Solve for x
    x = 351,740,921,006.25/271,388.25
  6. Step 6: Final answer
    x = 1,296,080.14

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Why These Related Problems?

These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.