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Finding the Third Proportional to 271,941 and 596,148

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Solution

The third proportional to 271,941 and 596,148 is: 1,306,873.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    271,941 : 596,148 = 596,148 : x
  2. Step 2: Convert to fraction form
    271,941/596,148 = 596,148/x
  3. Step 3: Cross multiply
    271,941x = 596,148 × 596,148
  4. Step 4: Simplify right side
    271,941x = 355,392,437,904
  5. Step 5: Solve for x
    x = 355,392,437,904/271,941
  6. Step 6: Final answer
    x = 1,306,873.32

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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.