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Finding the Third Proportional to 400,036 and 584,252

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Solution

The third proportional to 400,036 and 584,252 is: 853,299.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    400,036 : 584,252 = 584,252 : x
  2. Step 2: Convert to fraction form
    400,036/584,252 = 584,252/x
  3. Step 3: Cross multiply
    400,036x = 584,252 × 584,252
  4. Step 4: Simplify right side
    400,036x = 341,350,399,504
  5. Step 5: Solve for x
    x = 341,350,399,504/400,036
  6. Step 6: Final answer
    x = 853,299.20

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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.