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Finding the Third Proportional to 250,926 and 541,254

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Solution

The third proportional to 250,926 and 541,254 is: 1,167,499.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    250,926 : 541,254 = 541,254 : x
  2. Step 2: Convert to fraction form
    250,926/541,254 = 541,254/x
  3. Step 3: Cross multiply
    250,926x = 541,254 × 541,254
  4. Step 4: Simplify right side
    250,926x = 292,955,892,516
  5. Step 5: Solve for x
    x = 292,955,892,516/250,926
  6. Step 6: Final answer
    x = 1,167,499.15

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Why These Related Problems?

These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.