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Finding the Third Proportional to 465,115.50 and 631,227

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Solution

The third proportional to 465,115.50 and 631,227 is: 856,663.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    465,115.50 : 631,227 = 631,227 : x
  2. Step 2: Convert to fraction form
    465,115.50/631,227 = 631,227/x
  3. Step 3: Cross multiply
    465,115.50x = 631,227 × 631,227
  4. Step 4: Simplify right side
    465,115.50x = 398,447,525,529
  5. Step 5: Solve for x
    x = 398,447,525,529/465,115.50
  6. Step 6: Final answer
    x = 856,663.61

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Why These Related Problems?

These problems maintain the same ratio (1.36) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.