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Finding the Third Proportional to 400,012 and 584,224

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Solution

The third proportional to 400,012 and 584,224 is: 853,268.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    400,012 : 584,224 = 584,224 : x
  2. Step 2: Convert to fraction form
    400,012/584,224 = 584,224/x
  3. Step 3: Cross multiply
    400,012x = 584,224 × 584,224
  4. Step 4: Simplify right side
    400,012x = 341,317,682,176
  5. Step 5: Solve for x
    x = 341,317,682,176/400,012
  6. Step 6: Final answer
    x = 853,268.61

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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.