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Finding the Third Proportional to 352,786.50 and 529,974

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Solution

The third proportional to 352,786.50 and 529,974 is: 796,154.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    352,786.50 : 529,974 = 529,974 : x
  2. Step 2: Convert to fraction form
    352,786.50/529,974 = 529,974/x
  3. Step 3: Cross multiply
    352,786.50x = 529,974 × 529,974
  4. Step 4: Simplify right side
    352,786.50x = 280,872,440,676
  5. Step 5: Solve for x
    x = 280,872,440,676/352,786.50
  6. Step 6: Final answer
    x = 796,154.16

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.