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Finding the Third Proportional to 313,830 and 691,002

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Solution

The third proportional to 313,830 and 691,002 is: 1,521,472.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    313,830 : 691,002 = 691,002 : x
  2. Step 2: Convert to fraction form
    313,830/691,002 = 691,002/x
  3. Step 3: Cross multiply
    313,830x = 691,002 × 691,002
  4. Step 4: Simplify right side
    313,830x = 477,483,764,004
  5. Step 5: Solve for x
    x = 477,483,764,004/313,830
  6. Step 6: Final answer
    x = 1,521,472.66

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