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Finding the Third Proportional to 263,648 and 579,712

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Solution

The third proportional to 263,648 and 579,712 is: 1,274,676.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    263,648 : 579,712 = 579,712 : x
  2. Step 2: Convert to fraction form
    263,648/579,712 = 579,712/x
  3. Step 3: Cross multiply
    263,648x = 579,712 × 579,712
  4. Step 4: Simplify right side
    263,648x = 336,066,002,944
  5. Step 5: Solve for x
    x = 336,066,002,944/263,648
  6. Step 6: Final answer
    x = 1,274,676.85

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Why These Related Problems?

These problems maintain the same ratio (2.20) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.