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Finding the Third Proportional to 252,651.66 and 547,361.30

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Solution

The third proportional to 252,651.66 and 547,361.30 is: 1,185,839.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    252,651.66 : 547,361.30 = 547,361.30 : x
  2. Step 2: Convert to fraction form
    252,651.66/547,361.30 = 547,361.30/x
  3. Step 3: Cross multiply
    252,651.66x = 547,361.30 × 547,361.30
  4. Step 4: Simplify right side
    252,651.66x = 299,604,389,316.68
  5. Step 5: Solve for x
    x = 299,604,389,316.68/252,651.66
  6. Step 6: Final answer
    x = 1,185,839.80

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Why These Related Problems?

These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.