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Finding the Third Proportional to 271,674 and 597,132

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Solution

The third proportional to 271,674 and 597,132 is: 1,312,479.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    271,674 : 597,132 = 597,132 : x
  2. Step 2: Convert to fraction form
    271,674/597,132 = 597,132/x
  3. Step 3: Cross multiply
    271,674x = 597,132 × 597,132
  4. Step 4: Simplify right side
    271,674x = 356,566,625,424
  5. Step 5: Solve for x
    x = 356,566,625,424/271,674
  6. Step 6: Final answer
    x = 1,312,479.76

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Why These Related Problems?

These problems maintain the same ratio (2.20) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.