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Finding the Third Proportional to 352,966.50 and 530,255.25

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Solution

The third proportional to 352,966.50 and 530,255.25 is: 796,592.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    352,966.50 : 530,255.25 = 530,255.25 : x
  2. Step 2: Convert to fraction form
    352,966.50/530,255.25 = 530,255.25/x
  3. Step 3: Cross multiply
    352,966.50x = 530,255.25 × 530,255.25
  4. Step 4: Simplify right side
    352,966.50x = 281,170,630,152.56
  5. Step 5: Solve for x
    x = 281,170,630,152.56/352,966.50
  6. Step 6: Final answer
    x = 796,592.96

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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.