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Finding the Third Proportional to 250,617 and 383,864

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Solution

The third proportional to 250,617 and 383,864 is: 587,955.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    250,617 : 383,864 = 383,864 : x
  2. Step 2: Convert to fraction form
    250,617/383,864 = 383,864/x
  3. Step 3: Cross multiply
    250,617x = 383,864 × 383,864
  4. Step 4: Simplify right side
    250,617x = 147,351,570,496
  5. Step 5: Solve for x
    x = 147,351,570,496/250,617
  6. Step 6: Final answer
    x = 587,955.21

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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.