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Finding the Third Proportional to 254,682.56 and 530,460.56

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Solution

The third proportional to 254,682.56 and 530,460.56 is: 1,104,859.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    254,682.56 : 530,460.56 = 530,460.56 : x
  2. Step 2: Convert to fraction form
    254,682.56/530,460.56 = 530,460.56/x
  3. Step 3: Cross multiply
    254,682.56x = 530,460.56 × 530,460.56
  4. Step 4: Simplify right side
    254,682.56x = 281,388,408,367.82
  5. Step 5: Solve for x
    x = 281,388,408,367.82/254,682.56
  6. Step 6: Final answer
    x = 1,104,859.34

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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.