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Finding the Third Proportional to 327,503.25 and 520,780.50

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Solution

The third proportional to 327,503.25 and 520,780.50 is: 828,121.03

Step by Step Solution

  1. Step 1: Write the proportion equation
    327,503.25 : 520,780.50 = 520,780.50 : x
  2. Step 2: Convert to fraction form
    327,503.25/520,780.50 = 520,780.50/x
  3. Step 3: Cross multiply
    327,503.25x = 520,780.50 × 520,780.50
  4. Step 4: Simplify right side
    327,503.25x = 271,212,329,180.25
  5. Step 5: Solve for x
    x = 271,212,329,180.25/327,503.25
  6. Step 6: Final answer
    x = 828,121.03

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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.