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Finding the Third Proportional to 352,822 and 530,026

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Solution

The third proportional to 352,822 and 530,026 is: 796,230.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    352,822 : 530,026 = 530,026 : x
  2. Step 2: Convert to fraction form
    352,822/530,026 = 530,026/x
  3. Step 3: Cross multiply
    352,822x = 530,026 × 530,026
  4. Step 4: Simplify right side
    352,822x = 280,927,560,676
  5. Step 5: Solve for x
    x = 280,927,560,676/352,822
  6. Step 6: Final answer
    x = 796,230.28

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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.