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Finding the Third Proportional to 263,808 and 395,712

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Solution

The third proportional to 263,808 and 395,712 is: 593,568

Step by Step Solution

  1. Step 1: Write the proportion equation
    263,808 : 395,712 = 395,712 : x
  2. Step 2: Convert to fraction form
    263,808/395,712 = 395,712/x
  3. Step 3: Cross multiply
    263,808x = 395,712 × 395,712
  4. Step 4: Simplify right side
    263,808x = 156,587,986,944
  5. Step 5: Solve for x
    x = 156,587,986,944/263,808
  6. Step 6: Final answer
    x = 593,568

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.