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Finding the Third Proportional to 397,474 and 601,347

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Solution

The third proportional to 397,474 and 601,347 is: 909,790.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    397,474 : 601,347 = 601,347 : x
  2. Step 2: Convert to fraction form
    397,474/601,347 = 601,347/x
  3. Step 3: Cross multiply
    397,474x = 601,347 × 601,347
  4. Step 4: Simplify right side
    397,474x = 361,618,214,409
  5. Step 5: Solve for x
    x = 361,618,214,409/397,474
  6. Step 6: Final answer
    x = 909,790.87

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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.