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Finding the Third Proportional to 327,311 and 507,992

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Solution

The third proportional to 327,311 and 507,992 is: 788,411.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    327,311 : 507,992 = 507,992 : x
  2. Step 2: Convert to fraction form
    327,311/507,992 = 507,992/x
  3. Step 3: Cross multiply
    327,311x = 507,992 × 507,992
  4. Step 4: Simplify right side
    327,311x = 258,055,872,064
  5. Step 5: Solve for x
    x = 258,055,872,064/327,311
  6. Step 6: Final answer
    x = 788,411.85

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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.