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Finding the Third Proportional to 254,018 and 543,064

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Solution

The third proportional to 254,018 and 543,064 is: 1,161,014.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    254,018 : 543,064 = 543,064 : x
  2. Step 2: Convert to fraction form
    254,018/543,064 = 543,064/x
  3. Step 3: Cross multiply
    254,018x = 543,064 × 543,064
  4. Step 4: Simplify right side
    254,018x = 294,918,508,096
  5. Step 5: Solve for x
    x = 294,918,508,096/254,018
  6. Step 6: Final answer
    x = 1,161,014.21

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Why These Related Problems?

These problems maintain the same ratio (2.14) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.