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Finding the Third Proportional to 251,802 and 541,028

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Solution

The third proportional to 251,802 and 541,028 is: 1,162,466.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    251,802 : 541,028 = 541,028 : x
  2. Step 2: Convert to fraction form
    251,802/541,028 = 541,028/x
  3. Step 3: Cross multiply
    251,802x = 541,028 × 541,028
  4. Step 4: Simplify right side
    251,802x = 292,711,296,784
  5. Step 5: Solve for x
    x = 292,711,296,784/251,802
  6. Step 6: Final answer
    x = 1,162,466.13

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Why These Related Problems?

These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.