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Finding the Third Proportional to 383,037 and 606,231

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Solution

The third proportional to 383,037 and 606,231 is: 959,479.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    383,037 : 606,231 = 606,231 : x
  2. Step 2: Convert to fraction form
    383,037/606,231 = 606,231/x
  3. Step 3: Cross multiply
    383,037x = 606,231 × 606,231
  4. Step 4: Simplify right side
    383,037x = 367,516,025,361
  5. Step 5: Solve for x
    x = 367,516,025,361/383,037
  6. Step 6: Final answer
    x = 959,479.18

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Why These Related Problems?

These problems maintain the same ratio (1.58) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.