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Finding the Third Proportional to 244,318 and 530,414

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Solution

The third proportional to 244,318 and 530,414 is: 1,151,527.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    244,318 : 530,414 = 530,414 : x
  2. Step 2: Convert to fraction form
    244,318/530,414 = 530,414/x
  3. Step 3: Cross multiply
    244,318x = 530,414 × 530,414
  4. Step 4: Simplify right side
    244,318x = 281,339,011,396
  5. Step 5: Solve for x
    x = 281,339,011,396/244,318
  6. Step 6: Final answer
    x = 1,151,527.97

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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.