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Finding the Third Proportional to 327,314 and 507,995

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Solution

The third proportional to 327,314 and 507,995 is: 788,413.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    327,314 : 507,995 = 507,995 : x
  2. Step 2: Convert to fraction form
    327,314/507,995 = 507,995/x
  3. Step 3: Cross multiply
    327,314x = 507,995 × 507,995
  4. Step 4: Simplify right side
    327,314x = 258,058,920,025
  5. Step 5: Solve for x
    x = 258,058,920,025/327,314
  6. Step 6: Final answer
    x = 788,413.94

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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.