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Finding the Third Proportional to 452,536 and 670,975

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Solution

The third proportional to 452,536 and 670,975 is: 994,854.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    452,536 : 670,975 = 670,975 : x
  2. Step 2: Convert to fraction form
    452,536/670,975 = 670,975/x
  3. Step 3: Cross multiply
    452,536x = 670,975 × 670,975
  4. Step 4: Simplify right side
    452,536x = 450,207,450,625
  5. Step 5: Solve for x
    x = 450,207,450,625/452,536
  6. Step 6: Final answer
    x = 994,854.44

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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.