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Finding the Third Proportional to 394,764 and 585,342

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Solution

The third proportional to 394,764 and 585,342 is: 867,924.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    394,764 : 585,342 = 585,342 : x
  2. Step 2: Convert to fraction form
    394,764/585,342 = 585,342/x
  3. Step 3: Cross multiply
    394,764x = 585,342 × 585,342
  4. Step 4: Simplify right side
    394,764x = 342,625,256,964
  5. Step 5: Solve for x
    x = 342,625,256,964/394,764
  6. Step 6: Final answer
    x = 867,924.27

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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.