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Finding the Third Proportional to 313,762 and 646,093

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Solution

The third proportional to 313,762 and 646,093 is: 1,330,422.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    313,762 : 646,093 = 646,093 : x
  2. Step 2: Convert to fraction form
    313,762/646,093 = 646,093/x
  3. Step 3: Cross multiply
    313,762x = 646,093 × 646,093
  4. Step 4: Simplify right side
    313,762x = 417,436,164,649
  5. Step 5: Solve for x
    x = 417,436,164,649/313,762
  6. Step 6: Final answer
    x = 1,330,422.95

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Why These Related Problems?

These problems maintain the same ratio (2.06) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.