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Finding the Third Proportional to 254,037 and 541,815

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Solution

The third proportional to 254,037 and 541,815 is: 1,155,593.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    254,037 : 541,815 = 541,815 : x
  2. Step 2: Convert to fraction form
    254,037/541,815 = 541,815/x
  3. Step 3: Cross multiply
    254,037x = 541,815 × 541,815
  4. Step 4: Simplify right side
    254,037x = 293,563,494,225
  5. Step 5: Solve for x
    x = 293,563,494,225/254,037
  6. Step 6: Final answer
    x = 1,155,593.45

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Why These Related Problems?

These problems maintain the same ratio (2.13) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.