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Finding the Third Proportional to 307,883 and 461,364

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Solution

The third proportional to 307,883 and 461,364 is: 691,355.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    307,883 : 461,364 = 461,364 : x
  2. Step 2: Convert to fraction form
    307,883/461,364 = 461,364/x
  3. Step 3: Cross multiply
    307,883x = 461,364 × 461,364
  4. Step 4: Simplify right side
    307,883x = 212,856,740,496
  5. Step 5: Solve for x
    x = 212,856,740,496/307,883
  6. Step 6: Final answer
    x = 691,355.94

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.