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Finding the Third Proportional to 400,957 and 529,993

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Solution

The third proportional to 400,957 and 529,993 is: 700,555.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    400,957 : 529,993 = 529,993 : x
  2. Step 2: Convert to fraction form
    400,957/529,993 = 529,993/x
  3. Step 3: Cross multiply
    400,957x = 529,993 × 529,993
  4. Step 4: Simplify right side
    400,957x = 280,892,580,049
  5. Step 5: Solve for x
    x = 280,892,580,049/400,957
  6. Step 6: Final answer
    x = 700,555.37

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Why These Related Problems?

These problems maintain the same ratio (1.32) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.