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Finding the Third Proportional to 254,187 and 529,427.25

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Solution

The third proportional to 254,187 and 529,427.25 is: 1,102,704.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    254,187 : 529,427.25 = 529,427.25 : x
  2. Step 2: Convert to fraction form
    254,187/529,427.25 = 529,427.25/x
  3. Step 3: Cross multiply
    254,187x = 529,427.25 × 529,427.25
  4. Step 4: Simplify right side
    254,187x = 280,293,213,042.56
  5. Step 5: Solve for x
    x = 280,293,213,042.56/254,187
  6. Step 6: Final answer
    x = 1,102,704.75

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Why These Related Problems?

These problems maintain the same ratio (2.08) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.