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Finding the Third Proportional to 275,192 and 562,046

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Solution

The third proportional to 275,192 and 562,046 is: 1,147,910.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    275,192 : 562,046 = 562,046 : x
  2. Step 2: Convert to fraction form
    275,192/562,046 = 562,046/x
  3. Step 3: Cross multiply
    275,192x = 562,046 × 562,046
  4. Step 4: Simplify right side
    275,192x = 315,895,706,116
  5. Step 5: Solve for x
    x = 315,895,706,116/275,192
  6. Step 6: Final answer
    x = 1,147,910.21

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Why These Related Problems?

These problems maintain the same ratio (2.04) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.