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Finding the Third Proportional to 224,383 and 484,443

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Solution

The third proportional to 224,383 and 484,443 is: 1,045,912.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    224,383 : 484,443 = 484,443 : x
  2. Step 2: Convert to fraction form
    224,383/484,443 = 484,443/x
  3. Step 3: Cross multiply
    224,383x = 484,443 × 484,443
  4. Step 4: Simplify right side
    224,383x = 234,685,020,249
  5. Step 5: Solve for x
    x = 234,685,020,249/224,383
  6. Step 6: Final answer
    x = 1,045,912.66

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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.