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Finding the Third Proportional to 224,649 and 483,549

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Solution

The third proportional to 224,649 and 483,549 is: 1,040,822.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    224,649 : 483,549 = 483,549 : x
  2. Step 2: Convert to fraction form
    224,649/483,549 = 483,549/x
  3. Step 3: Cross multiply
    224,649x = 483,549 × 483,549
  4. Step 4: Simplify right side
    224,649x = 233,819,635,401
  5. Step 5: Solve for x
    x = 233,819,635,401/224,649
  6. Step 6: Final answer
    x = 1,040,822.06

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Why These Related Problems?

These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.