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Finding the Third Proportional to 254,658.94 and 530,236.13

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Solution

The third proportional to 254,658.94 and 530,236.13 is: 1,104,027.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    254,658.94 : 530,236.13 = 530,236.13 : x
  2. Step 2: Convert to fraction form
    254,658.94/530,236.13 = 530,236.13/x
  3. Step 3: Cross multiply
    254,658.94x = 530,236.13 × 530,236.13
  4. Step 4: Simplify right side
    254,658.94x = 281,150,348,255.02
  5. Step 5: Solve for x
    x = 281,150,348,255.02/254,658.94
  6. Step 6: Final answer
    x = 1,104,027.02

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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.