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Finding the Third Proportional to 253,518 and 550,824

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Solution

The third proportional to 253,518 and 550,824 is: 1,196,787.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    253,518 : 550,824 = 550,824 : x
  2. Step 2: Convert to fraction form
    253,518/550,824 = 550,824/x
  3. Step 3: Cross multiply
    253,518x = 550,824 × 550,824
  4. Step 4: Simplify right side
    253,518x = 303,407,078,976
  5. Step 5: Solve for x
    x = 303,407,078,976/253,518
  6. Step 6: Final answer
    x = 1,196,787.13

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Why These Related Problems?

These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.