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Finding the Third Proportional to 299,401 and 476,632

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Solution

The third proportional to 299,401 and 476,632 is: 758,775.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    299,401 : 476,632 = 476,632 : x
  2. Step 2: Convert to fraction form
    299,401/476,632 = 476,632/x
  3. Step 3: Cross multiply
    299,401x = 476,632 × 476,632
  4. Step 4: Simplify right side
    299,401x = 227,178,063,424
  5. Step 5: Solve for x
    x = 227,178,063,424/299,401
  6. Step 6: Final answer
    x = 758,775.23

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Why These Related Problems?

These problems maintain the same ratio (1.59) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.