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Finding the Third Proportional to 303,868 and 627,176

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Solution

The third proportional to 303,868 and 627,176 is: 1,294,475.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    303,868 : 627,176 = 627,176 : x
  2. Step 2: Convert to fraction form
    303,868/627,176 = 627,176/x
  3. Step 3: Cross multiply
    303,868x = 627,176 × 627,176
  4. Step 4: Simplify right side
    303,868x = 393,349,734,976
  5. Step 5: Solve for x
    x = 393,349,734,976/303,868
  6. Step 6: Final answer
    x = 1,294,475.68

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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.