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Finding the Third Proportional to 352,782 and 530,010

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Solution

The third proportional to 352,782 and 530,010 is: 796,272.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    352,782 : 530,010 = 530,010 : x
  2. Step 2: Convert to fraction form
    352,782/530,010 = 530,010/x
  3. Step 3: Cross multiply
    352,782x = 530,010 × 530,010
  4. Step 4: Simplify right side
    352,782x = 280,910,600,100
  5. Step 5: Solve for x
    x = 280,910,600,100/352,782
  6. Step 6: Final answer
    x = 796,272.49

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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.