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Finding the Third Proportional to 327,492 and 520,763

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Solution

The third proportional to 327,492 and 520,763 is: 828,093.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    327,492 : 520,763 = 520,763 : x
  2. Step 2: Convert to fraction form
    327,492/520,763 = 520,763/x
  3. Step 3: Cross multiply
    327,492x = 520,763 × 520,763
  4. Step 4: Simplify right side
    327,492x = 271,194,102,169
  5. Step 5: Solve for x
    x = 271,194,102,169/327,492
  6. Step 6: Final answer
    x = 828,093.82

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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.