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Finding the Third Proportional to 383,295 and 833,706

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Solution

The third proportional to 383,295 and 833,706 is: 1,813,396.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    383,295 : 833,706 = 833,706 : x
  2. Step 2: Convert to fraction form
    383,295/833,706 = 833,706/x
  3. Step 3: Cross multiply
    383,295x = 833,706 × 833,706
  4. Step 4: Simplify right side
    383,295x = 695,065,694,436
  5. Step 5: Solve for x
    x = 695,065,694,436/383,295
  6. Step 6: Final answer
    x = 1,813,396.19

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.