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Finding the Third Proportional to 327,305 and 507,983

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Solution

The third proportional to 327,305 and 507,983 is: 788,398.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    327,305 : 507,983 = 507,983 : x
  2. Step 2: Convert to fraction form
    327,305/507,983 = 507,983/x
  3. Step 3: Cross multiply
    327,305x = 507,983 × 507,983
  4. Step 4: Simplify right side
    327,305x = 258,046,728,289
  5. Step 5: Solve for x
    x = 258,046,728,289/327,305
  6. Step 6: Final answer
    x = 788,398.37

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Why These Related Problems?

These problems maintain the same ratio (1.55) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.