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Finding the Third Proportional to 271,422 and 593,131.50

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Solution

The third proportional to 271,422 and 593,131.50 is: 1,296,154.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    271,422 : 593,131.50 = 593,131.50 : x
  2. Step 2: Convert to fraction form
    271,422/593,131.50 = 593,131.50/x
  3. Step 3: Cross multiply
    271,422x = 593,131.50 × 593,131.50
  4. Step 4: Simplify right side
    271,422x = 351,804,976,292.25
  5. Step 5: Solve for x
    x = 351,804,976,292.25/271,422
  6. Step 6: Final answer
    x = 1,296,154.98

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