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Finding the Third Proportional to 400,014 and 584,227

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Solution

The third proportional to 400,014 and 584,227 is: 853,273.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    400,014 : 584,227 = 584,227 : x
  2. Step 2: Convert to fraction form
    400,014/584,227 = 584,227/x
  3. Step 3: Cross multiply
    400,014x = 584,227 × 584,227
  4. Step 4: Simplify right side
    400,014x = 341,321,187,529
  5. Step 5: Solve for x
    x = 341,321,187,529/400,014
  6. Step 6: Final answer
    x = 853,273.10

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Why These Related Problems?

These problems maintain the same ratio (1.46) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.