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Finding the Third Proportional to 251,806 and 541,036

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Solution

The third proportional to 251,806 and 541,036 is: 1,162,482.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    251,806 : 541,036 = 541,036 : x
  2. Step 2: Convert to fraction form
    251,806/541,036 = 541,036/x
  3. Step 3: Cross multiply
    251,806x = 541,036 × 541,036
  4. Step 4: Simplify right side
    251,806x = 292,719,953,296
  5. Step 5: Solve for x
    x = 292,719,953,296/251,806
  6. Step 6: Final answer
    x = 1,162,482.04

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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.