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Finding the Third Proportional to 383,372 and 833,668

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Solution

The third proportional to 383,372 and 833,668 is: 1,812,866.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    383,372 : 833,668 = 833,668 : x
  2. Step 2: Convert to fraction form
    383,372/833,668 = 833,668/x
  3. Step 3: Cross multiply
    383,372x = 833,668 × 833,668
  4. Step 4: Simplify right side
    383,372x = 695,002,334,224
  5. Step 5: Solve for x
    x = 695,002,334,224/383,372
  6. Step 6: Final answer
    x = 1,812,866.70

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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.