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Finding the Third Proportional to 271,941.75 and 596,148.75

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Solution

The third proportional to 271,941.75 and 596,148.75 is: 1,306,873.01

Step by Step Solution

  1. Step 1: Write the proportion equation
    271,941.75 : 596,148.75 = 596,148.75 : x
  2. Step 2: Convert to fraction form
    271,941.75/596,148.75 = 596,148.75/x
  3. Step 3: Cross multiply
    271,941.75x = 596,148.75 × 596,148.75
  4. Step 4: Simplify right side
    271,941.75x = 355,393,332,126.56
  5. Step 5: Solve for x
    x = 355,393,332,126.56/271,941.75
  6. Step 6: Final answer
    x = 1,306,873.01

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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.