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Finding the Third Proportional to 244,330 and 530,438

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Solution

The third proportional to 244,330 and 530,438 is: 1,151,575.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    244,330 : 530,438 = 530,438 : x
  2. Step 2: Convert to fraction form
    244,330/530,438 = 530,438/x
  3. Step 3: Cross multiply
    244,330x = 530,438 × 530,438
  4. Step 4: Simplify right side
    244,330x = 281,364,471,844
  5. Step 5: Solve for x
    x = 281,364,471,844/244,330
  6. Step 6: Final answer
    x = 1,151,575.62

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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.