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Finding the Third Proportional to 394,767 and 585,346

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Solution

The third proportional to 394,767 and 585,346 is: 867,929.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    394,767 : 585,346 = 585,346 : x
  2. Step 2: Convert to fraction form
    394,767/585,346 = 585,346/x
  3. Step 3: Cross multiply
    394,767x = 585,346 × 585,346
  4. Step 4: Simplify right side
    394,767x = 342,629,939,716
  5. Step 5: Solve for x
    x = 342,629,939,716/394,767
  6. Step 6: Final answer
    x = 867,929.54

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Why These Related Problems?

These problems maintain the same ratio (1.48) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.