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Finding the Third Proportional to 268,430 and 584,824

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Solution

The third proportional to 268,430 and 584,824 is: 1,274,146.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    268,430 : 584,824 = 584,824 : x
  2. Step 2: Convert to fraction form
    268,430/584,824 = 584,824/x
  3. Step 3: Cross multiply
    268,430x = 584,824 × 584,824
  4. Step 4: Simplify right side
    268,430x = 342,019,110,976
  5. Step 5: Solve for x
    x = 342,019,110,976/268,430
  6. Step 6: Final answer
    x = 1,274,146.37

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.