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Finding the Third Proportional to 299,219 and 654,741

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Solution

The third proportional to 299,219 and 654,741 is: 1,432,682.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    299,219 : 654,741 = 654,741 : x
  2. Step 2: Convert to fraction form
    299,219/654,741 = 654,741/x
  3. Step 3: Cross multiply
    299,219x = 654,741 × 654,741
  4. Step 4: Simplify right side
    299,219x = 428,685,777,081
  5. Step 5: Solve for x
    x = 428,685,777,081/299,219
  6. Step 6: Final answer
    x = 1,432,682.34

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Why These Related Problems?

These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.