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Finding the Third Proportional to 244,262 and 530,302

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Solution

The third proportional to 244,262 and 530,302 is: 1,151,305.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    244,262 : 530,302 = 530,302 : x
  2. Step 2: Convert to fraction form
    244,262/530,302 = 530,302/x
  3. Step 3: Cross multiply
    244,262x = 530,302 × 530,302
  4. Step 4: Simplify right side
    244,262x = 281,220,211,204
  5. Step 5: Solve for x
    x = 281,220,211,204/244,262
  6. Step 6: Final answer
    x = 1,151,305.61

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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.