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Finding the Third Proportional to 327,483 and 520,746.75

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Solution

The third proportional to 327,483 and 520,746.75 is: 828,064.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    327,483 : 520,746.75 = 520,746.75 : x
  2. Step 2: Convert to fraction form
    327,483/520,746.75 = 520,746.75/x
  3. Step 3: Cross multiply
    327,483x = 520,746.75 × 520,746.75
  4. Step 4: Simplify right side
    327,483x = 271,177,177,635.56
  5. Step 5: Solve for x
    x = 271,177,177,635.56/327,483
  6. Step 6: Final answer
    x = 828,064.90

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Why These Related Problems?

These problems maintain the same ratio (1.59) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.