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Finding the Third Proportional to 244,254.75 and 530,286.94

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Solution

The third proportional to 244,254.75 and 530,286.94 is: 1,151,274.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    244,254.75 : 530,286.94 = 530,286.94 : x
  2. Step 2: Convert to fraction form
    244,254.75/530,286.94 = 530,286.94/x
  3. Step 3: Cross multiply
    244,254.75x = 530,286.94 × 530,286.94
  4. Step 4: Simplify right side
    244,254.75x = 281,204,236,083.13
  5. Step 5: Solve for x
    x = 281,204,236,083.13/244,254.75
  6. Step 6: Final answer
    x = 1,151,274.38

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Why These Related Problems?

These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.