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Finding the Third Proportional to 303,064 and 448,734

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Solution

The third proportional to 303,064 and 448,734 is: 664,421.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    303,064 : 448,734 = 448,734 : x
  2. Step 2: Convert to fraction form
    303,064/448,734 = 448,734/x
  3. Step 3: Cross multiply
    303,064x = 448,734 × 448,734
  4. Step 4: Simplify right side
    303,064x = 201,362,202,756
  5. Step 5: Solve for x
    x = 201,362,202,756/303,064
  6. Step 6: Final answer
    x = 664,421.39

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Why These Related Problems?

These problems maintain the same ratio (1.48) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.