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Finding the Third Proportional to 382,650 and 834,194

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Solution

The third proportional to 382,650 and 834,194 is: 1,818,579.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    382,650 : 834,194 = 834,194 : x
  2. Step 2: Convert to fraction form
    382,650/834,194 = 834,194/x
  3. Step 3: Cross multiply
    382,650x = 834,194 × 834,194
  4. Step 4: Simplify right side
    382,650x = 695,879,629,636
  5. Step 5: Solve for x
    x = 695,879,629,636/382,650
  6. Step 6: Final answer
    x = 1,818,579.98

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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.