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Finding the Third Proportional to 352,810 and 530,009

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Solution

The third proportional to 352,810 and 530,009 is: 796,206.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    352,810 : 530,009 = 530,009 : x
  2. Step 2: Convert to fraction form
    352,810/530,009 = 530,009/x
  3. Step 3: Cross multiply
    352,810x = 530,009 × 530,009
  4. Step 4: Simplify right side
    352,810x = 280,909,540,081
  5. Step 5: Solve for x
    x = 280,909,540,081/352,810
  6. Step 6: Final answer
    x = 796,206.29

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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.