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Finding the Third Proportional to 250,617 and 383,865

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Solution

The third proportional to 250,617 and 383,865 is: 587,958.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    250,617 : 383,865 = 383,865 : x
  2. Step 2: Convert to fraction form
    250,617/383,865 = 383,865/x
  3. Step 3: Cross multiply
    250,617x = 383,865 × 383,865
  4. Step 4: Simplify right side
    250,617x = 147,352,338,225
  5. Step 5: Solve for x
    x = 147,352,338,225/250,617
  6. Step 6: Final answer
    x = 587,958.27

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Why These Related Problems?

These problems maintain the same ratio (1.53) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.