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Finding the Third Proportional to 265,848 and 394,932

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Solution

The third proportional to 265,848 and 394,932 is: 586,693.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    265,848 : 394,932 = 394,932 : x
  2. Step 2: Convert to fraction form
    265,848/394,932 = 394,932/x
  3. Step 3: Cross multiply
    265,848x = 394,932 × 394,932
  4. Step 4: Simplify right side
    265,848x = 155,971,284,624
  5. Step 5: Solve for x
    x = 155,971,284,624/265,848
  6. Step 6: Final answer
    x = 586,693.47

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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.