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Finding the Third Proportional to 224,449 and 483,882

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Solution

The third proportional to 224,449 and 483,882 is: 1,043,184.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    224,449 : 483,882 = 483,882 : x
  2. Step 2: Convert to fraction form
    224,449/483,882 = 483,882/x
  3. Step 3: Cross multiply
    224,449x = 483,882 × 483,882
  4. Step 4: Simplify right side
    224,449x = 234,141,789,924
  5. Step 5: Solve for x
    x = 234,141,789,924/224,449
  6. Step 6: Final answer
    x = 1,043,184.82

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Why These Related Problems?

These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.