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Finding the Third Proportional to 231,570 and 347,916

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Solution

The third proportional to 231,570 and 347,916 is: 522,716.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    231,570 : 347,916 = 347,916 : x
  2. Step 2: Convert to fraction form
    231,570/347,916 = 347,916/x
  3. Step 3: Cross multiply
    231,570x = 347,916 × 347,916
  4. Step 4: Simplify right side
    231,570x = 121,045,543,056
  5. Step 5: Solve for x
    x = 121,045,543,056/231,570
  6. Step 6: Final answer
    x = 522,716.86

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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.