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Finding the Third Proportional to 351,634 and 559,059

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Solution

The third proportional to 351,634 and 559,059 is: 888,841.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    351,634 : 559,059 = 559,059 : x
  2. Step 2: Convert to fraction form
    351,634/559,059 = 559,059/x
  3. Step 3: Cross multiply
    351,634x = 559,059 × 559,059
  4. Step 4: Simplify right side
    351,634x = 312,546,965,481
  5. Step 5: Solve for x
    x = 312,546,965,481/351,634
  6. Step 6: Final answer
    x = 888,841.71

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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.