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Finding the Third Proportional to 352,842 and 530,059.50

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Solution

The third proportional to 352,842 and 530,059.50 is: 796,285.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    352,842 : 530,059.50 = 530,059.50 : x
  2. Step 2: Convert to fraction form
    352,842/530,059.50 = 530,059.50/x
  3. Step 3: Cross multiply
    352,842x = 530,059.50 × 530,059.50
  4. Step 4: Simplify right side
    352,842x = 280,963,073,540.25
  5. Step 5: Solve for x
    x = 280,963,073,540.25/352,842
  6. Step 6: Final answer
    x = 796,285.80

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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.