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Finding the Third Proportional to 400,032 and 853,632

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Solution

The third proportional to 400,032 and 853,632 is: 1,821,573.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    400,032 : 853,632 = 853,632 : x
  2. Step 2: Convert to fraction form
    400,032/853,632 = 853,632/x
  3. Step 3: Cross multiply
    400,032x = 853,632 × 853,632
  4. Step 4: Simplify right side
    400,032x = 728,687,591,424
  5. Step 5: Solve for x
    x = 728,687,591,424/400,032
  6. Step 6: Final answer
    x = 1,821,573.25

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Why These Related Problems?

These problems maintain the same ratio (2.13) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.