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Finding the Third Proportional to 312,747 and 682,851

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Solution

The third proportional to 312,747 and 682,851 is: 1,490,935.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    312,747 : 682,851 = 682,851 : x
  2. Step 2: Convert to fraction form
    312,747/682,851 = 682,851/x
  3. Step 3: Cross multiply
    312,747x = 682,851 × 682,851
  4. Step 4: Simplify right side
    312,747x = 466,285,488,201
  5. Step 5: Solve for x
    x = 466,285,488,201/312,747
  6. Step 6: Final answer
    x = 1,490,935.13

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.