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Finding the Third Proportional to 350,520 and 525,183

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Solution

The third proportional to 350,520 and 525,183 is: 786,880.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    350,520 : 525,183 = 525,183 : x
  2. Step 2: Convert to fraction form
    350,520/525,183 = 525,183/x
  3. Step 3: Cross multiply
    350,520x = 525,183 × 525,183
  4. Step 4: Simplify right side
    350,520x = 275,817,183,489
  5. Step 5: Solve for x
    x = 275,817,183,489/350,520
  6. Step 6: Final answer
    x = 786,880.02

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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.