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Finding the Third Proportional to 452,553.75 and 670,996.69

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Solution

The third proportional to 452,553.75 and 670,996.69 is: 994,879.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    452,553.75 : 670,996.69 = 670,996.69 : x
  2. Step 2: Convert to fraction form
    452,553.75/670,996.69 = 670,996.69/x
  3. Step 3: Cross multiply
    452,553.75x = 670,996.69 × 670,996.69
  4. Step 4: Simplify right side
    452,553.75x = 450,236,554,635.97
  5. Step 5: Solve for x
    x = 450,236,554,635.97/452,553.75
  6. Step 6: Final answer
    x = 994,879.73

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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.