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Finding the Third Proportional to 382,959 and 833,085

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Solution

The third proportional to 382,959 and 833,085 is: 1,812,284.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    382,959 : 833,085 = 833,085 : x
  2. Step 2: Convert to fraction form
    382,959/833,085 = 833,085/x
  3. Step 3: Cross multiply
    382,959x = 833,085 × 833,085
  4. Step 4: Simplify right side
    382,959x = 694,030,617,225
  5. Step 5: Solve for x
    x = 694,030,617,225/382,959
  6. Step 6: Final answer
    x = 1,812,284.39

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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.