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Finding the Third Proportional to 327,492 and 520,765

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Solution

The third proportional to 327,492 and 520,765 is: 828,100.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    327,492 : 520,765 = 520,765 : x
  2. Step 2: Convert to fraction form
    327,492/520,765 = 520,765/x
  3. Step 3: Cross multiply
    327,492x = 520,765 × 520,765
  4. Step 4: Simplify right side
    327,492x = 271,196,185,225
  5. Step 5: Solve for x
    x = 271,196,185,225/327,492
  6. Step 6: Final answer
    x = 828,100.18

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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.