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Finding the Third Proportional to 352,809 and 530,008.31

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Solution

The third proportional to 352,809 and 530,008.31 is: 796,206.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    352,809 : 530,008.31 = 530,008.31 : x
  2. Step 2: Convert to fraction form
    352,809/530,008.31 = 530,008.31/x
  3. Step 3: Cross multiply
    352,809x = 530,008.31 × 530,008.31
  4. Step 4: Simplify right side
    352,809x = 280,908,811,319.10
  5. Step 5: Solve for x
    x = 280,908,811,319.10/352,809
  6. Step 6: Final answer
    x = 796,206.48

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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.