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Finding the Third Proportional to 353,697 and 763,675

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Solution

The third proportional to 353,697 and 763,675 is: 1,648,867.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    353,697 : 763,675 = 763,675 : x
  2. Step 2: Convert to fraction form
    353,697/763,675 = 763,675/x
  3. Step 3: Cross multiply
    353,697x = 763,675 × 763,675
  4. Step 4: Simplify right side
    353,697x = 583,199,505,625
  5. Step 5: Solve for x
    x = 583,199,505,625/353,697
  6. Step 6: Final answer
    x = 1,648,867.55

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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.