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Finding the Third Proportional to 271,920 and 592,228

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Solution

The third proportional to 271,920 and 592,228 is: 1,289,842.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    271,920 : 592,228 = 592,228 : x
  2. Step 2: Convert to fraction form
    271,920/592,228 = 592,228/x
  3. Step 3: Cross multiply
    271,920x = 592,228 × 592,228
  4. Step 4: Simplify right side
    271,920x = 350,734,003,984
  5. Step 5: Solve for x
    x = 350,734,003,984/271,920
  6. Step 6: Final answer
    x = 1,289,842.62

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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.