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Finding the Third Proportional to 252,982.50 and 541,827

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Solution

The third proportional to 252,982.50 and 541,827 is: 1,160,461.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    252,982.50 : 541,827 = 541,827 : x
  2. Step 2: Convert to fraction form
    252,982.50/541,827 = 541,827/x
  3. Step 3: Cross multiply
    252,982.50x = 541,827 × 541,827
  4. Step 4: Simplify right side
    252,982.50x = 293,576,497,929
  5. Step 5: Solve for x
    x = 293,576,497,929/252,982.50
  6. Step 6: Final answer
    x = 1,160,461.68

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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.