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Finding the Third Proportional to 251,798 and 541,020

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Solution

The third proportional to 251,798 and 541,020 is: 1,162,450.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    251,798 : 541,020 = 541,020 : x
  2. Step 2: Convert to fraction form
    251,798/541,020 = 541,020/x
  3. Step 3: Cross multiply
    251,798x = 541,020 × 541,020
  4. Step 4: Simplify right side
    251,798x = 292,702,640,400
  5. Step 5: Solve for x
    x = 292,702,640,400/251,798
  6. Step 6: Final answer
    x = 1,162,450.22

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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.