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Finding the Third Proportional to 397,216 and 599,536

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Solution

The third proportional to 397,216 and 599,536 is: 904,906.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    397,216 : 599,536 = 599,536 : x
  2. Step 2: Convert to fraction form
    397,216/599,536 = 599,536/x
  3. Step 3: Cross multiply
    397,216x = 599,536 × 599,536
  4. Step 4: Simplify right side
    397,216x = 359,443,415,296
  5. Step 5: Solve for x
    x = 359,443,415,296/397,216
  6. Step 6: Final answer
    x = 904,906.69

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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.