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Finding the Third Proportional to 265,692 and 394,774

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Solution

The third proportional to 265,692 and 394,774 is: 586,568.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    265,692 : 394,774 = 394,774 : x
  2. Step 2: Convert to fraction form
    265,692/394,774 = 394,774/x
  3. Step 3: Cross multiply
    265,692x = 394,774 × 394,774
  4. Step 4: Simplify right side
    265,692x = 155,846,511,076
  5. Step 5: Solve for x
    x = 155,846,511,076/265,692
  6. Step 6: Final answer
    x = 586,568.32

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.