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Finding the Third Proportional to 244,104 and 514,452

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Solution

The third proportional to 244,104 and 514,452 is: 1,084,213.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    244,104 : 514,452 = 514,452 : x
  2. Step 2: Convert to fraction form
    244,104/514,452 = 514,452/x
  3. Step 3: Cross multiply
    244,104x = 514,452 × 514,452
  4. Step 4: Simplify right side
    244,104x = 264,660,860,304
  5. Step 5: Solve for x
    x = 264,660,860,304/244,104
  6. Step 6: Final answer
    x = 1,084,213.53

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Why These Related Problems?

These problems maintain the same ratio (2.11) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.