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Finding the Third Proportional to 337,852 and 455,064

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Solution

The third proportional to 337,852 and 455,064 is: 612,940.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    337,852 : 455,064 = 455,064 : x
  2. Step 2: Convert to fraction form
    337,852/455,064 = 455,064/x
  3. Step 3: Cross multiply
    337,852x = 455,064 × 455,064
  4. Step 4: Simplify right side
    337,852x = 207,083,244,096
  5. Step 5: Solve for x
    x = 207,083,244,096/337,852
  6. Step 6: Final answer
    x = 612,940.71

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Why These Related Problems?

These problems maintain the same ratio (1.35) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.