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Finding the Third Proportional to 283,608 and 444,960

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Solution

The third proportional to 283,608 and 444,960 is: 698,109.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    283,608 : 444,960 = 444,960 : x
  2. Step 2: Convert to fraction form
    283,608/444,960 = 444,960/x
  3. Step 3: Cross multiply
    283,608x = 444,960 × 444,960
  4. Step 4: Simplify right side
    283,608x = 197,989,401,600
  5. Step 5: Solve for x
    x = 197,989,401,600/283,608
  6. Step 6: Final answer
    x = 698,109.37

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Why These Related Problems?

These problems maintain the same ratio (1.57) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.