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Finding the Third Proportional to 327,607 and 493,718

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Solution

The third proportional to 327,607 and 493,718 is: 744,054.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    327,607 : 493,718 = 493,718 : x
  2. Step 2: Convert to fraction form
    327,607/493,718 = 493,718/x
  3. Step 3: Cross multiply
    327,607x = 493,718 × 493,718
  4. Step 4: Simplify right side
    327,607x = 243,757,463,524
  5. Step 5: Solve for x
    x = 243,757,463,524/327,607
  6. Step 6: Final answer
    x = 744,054.50

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.