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Finding the Third Proportional to 452,880 and 580,824

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Solution

The third proportional to 452,880 and 580,824 is: 744,913.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    452,880 : 580,824 = 580,824 : x
  2. Step 2: Convert to fraction form
    452,880/580,824 = 580,824/x
  3. Step 3: Cross multiply
    452,880x = 580,824 × 580,824
  4. Step 4: Simplify right side
    452,880x = 337,356,518,976
  5. Step 5: Solve for x
    x = 337,356,518,976/452,880
  6. Step 6: Final answer
    x = 744,913.71

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Why These Related Problems?

These problems maintain the same ratio (1.28) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.