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Finding the Third Proportional to 271,976 and 592,340

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Solution

The third proportional to 271,976 and 592,340 is: 1,290,064.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    271,976 : 592,340 = 592,340 : x
  2. Step 2: Convert to fraction form
    271,976/592,340 = 592,340/x
  3. Step 3: Cross multiply
    271,976x = 592,340 × 592,340
  4. Step 4: Simplify right side
    271,976x = 350,866,675,600
  5. Step 5: Solve for x
    x = 350,866,675,600/271,976
  6. Step 6: Final answer
    x = 1,290,064.84

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.