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Finding the Third Proportional to 314,474 and 483,945

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Solution

The third proportional to 314,474 and 483,945 is: 744,744.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    314,474 : 483,945 = 483,945 : x
  2. Step 2: Convert to fraction form
    314,474/483,945 = 483,945/x
  3. Step 3: Cross multiply
    314,474x = 483,945 × 483,945
  4. Step 4: Simplify right side
    314,474x = 234,202,763,025
  5. Step 5: Solve for x
    x = 234,202,763,025/314,474
  6. Step 6: Final answer
    x = 744,744.44

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Why These Related Problems?

These problems maintain the same ratio (1.54) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.