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Finding the Third Proportional to 327,487.50 and 520,756.50

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Solution

The third proportional to 327,487.50 and 520,756.50 is: 828,084.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    327,487.50 : 520,756.50 = 520,756.50 : x
  2. Step 2: Convert to fraction form
    327,487.50/520,756.50 = 520,756.50/x
  3. Step 3: Cross multiply
    327,487.50x = 520,756.50 × 520,756.50
  4. Step 4: Simplify right side
    327,487.50x = 271,187,332,292.25
  5. Step 5: Solve for x
    x = 271,187,332,292.25/327,487.50
  6. Step 6: Final answer
    x = 828,084.53

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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.