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Finding the Third Proportional to 283,356 and 589,824

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Solution

The third proportional to 283,356 and 589,824 is: 1,227,757.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    283,356 : 589,824 = 589,824 : x
  2. Step 2: Convert to fraction form
    283,356/589,824 = 589,824/x
  3. Step 3: Cross multiply
    283,356x = 589,824 × 589,824
  4. Step 4: Simplify right side
    283,356x = 347,892,350,976
  5. Step 5: Solve for x
    x = 347,892,350,976/283,356
  6. Step 6: Final answer
    x = 1,227,757.14

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Why These Related Problems?

These problems maintain the same ratio (2.08) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.