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Finding the Third Proportional to 303,573 and 452,899

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Solution

The third proportional to 303,573 and 452,899 is: 675,677.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    303,573 : 452,899 = 452,899 : x
  2. Step 2: Convert to fraction form
    303,573/452,899 = 452,899/x
  3. Step 3: Cross multiply
    303,573x = 452,899 × 452,899
  4. Step 4: Simplify right side
    303,573x = 205,117,504,201
  5. Step 5: Solve for x
    x = 205,117,504,201/303,573
  6. Step 6: Final answer
    x = 675,677.69

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.