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Finding the Third Proportional to 352,842.75 and 530,057.25

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Solution

The third proportional to 352,842.75 and 530,057.25 is: 796,277.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    352,842.75 : 530,057.25 = 530,057.25 : x
  2. Step 2: Convert to fraction form
    352,842.75/530,057.25 = 530,057.25/x
  3. Step 3: Cross multiply
    352,842.75x = 530,057.25 × 530,057.25
  4. Step 4: Simplify right side
    352,842.75x = 280,960,688,277.56
  5. Step 5: Solve for x
    x = 280,960,688,277.56/352,842.75
  6. Step 6: Final answer
    x = 796,277.35

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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.