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Finding the Third Proportional to 299,722 and 452,760

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Solution

The third proportional to 299,722 and 452,760 is: 683,939.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    299,722 : 452,760 = 452,760 : x
  2. Step 2: Convert to fraction form
    299,722/452,760 = 452,760/x
  3. Step 3: Cross multiply
    299,722x = 452,760 × 452,760
  4. Step 4: Simplify right side
    299,722x = 204,991,617,600
  5. Step 5: Solve for x
    x = 204,991,617,600/299,722
  6. Step 6: Final answer
    x = 683,939.18

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.