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Finding the Third Proportional to 224,067 and 483,789

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Solution

The third proportional to 224,067 and 483,789 is: 1,044,561.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    224,067 : 483,789 = 483,789 : x
  2. Step 2: Convert to fraction form
    224,067/483,789 = 483,789/x
  3. Step 3: Cross multiply
    224,067x = 483,789 × 483,789
  4. Step 4: Simplify right side
    224,067x = 234,051,796,521
  5. Step 5: Solve for x
    x = 234,051,796,521/224,067
  6. Step 6: Final answer
    x = 1,044,561.66

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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.