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Finding the Third Proportional to 353,124 and 530,474

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Solution

The third proportional to 353,124 and 530,474 is: 796,894.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    353,124 : 530,474 = 530,474 : x
  2. Step 2: Convert to fraction form
    353,124/530,474 = 530,474/x
  3. Step 3: Cross multiply
    353,124x = 530,474 × 530,474
  4. Step 4: Simplify right side
    353,124x = 281,402,664,676
  5. Step 5: Solve for x
    x = 281,402,664,676/353,124
  6. Step 6: Final answer
    x = 796,894.76

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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.