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Finding the Third Proportional to 383,097 and 579,969

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Solution

The third proportional to 383,097 and 579,969 is: 878,012.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    383,097 : 579,969 = 579,969 : x
  2. Step 2: Convert to fraction form
    383,097/579,969 = 579,969/x
  3. Step 3: Cross multiply
    383,097x = 579,969 × 579,969
  4. Step 4: Simplify right side
    383,097x = 336,364,040,961
  5. Step 5: Solve for x
    x = 336,364,040,961/383,097
  6. Step 6: Final answer
    x = 878,012.73

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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.