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Finding the Third Proportional to 353,731 and 763,481

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Solution

The third proportional to 353,731 and 763,481 is: 1,647,871.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    353,731 : 763,481 = 763,481 : x
  2. Step 2: Convert to fraction form
    353,731/763,481 = 763,481/x
  3. Step 3: Cross multiply
    353,731x = 763,481 × 763,481
  4. Step 4: Simplify right side
    353,731x = 582,903,237,361
  5. Step 5: Solve for x
    x = 582,903,237,361/353,731
  6. Step 6: Final answer
    x = 1,647,871.51

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Why These Related Problems?

These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.