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Finding the Third Proportional to 301,714.88 and 595,729.69

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Solution

The third proportional to 301,714.88 and 595,729.69 is: 1,176,255.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    301,714.88 : 595,729.69 = 595,729.69 : x
  2. Step 2: Convert to fraction form
    301,714.88/595,729.69 = 595,729.69/x
  3. Step 3: Cross multiply
    301,714.88x = 595,729.69 × 595,729.69
  4. Step 4: Simplify right side
    301,714.88x = 354,893,860,568.85
  5. Step 5: Solve for x
    x = 354,893,860,568.85/301,714.88
  6. Step 6: Final answer
    x = 1,176,255.76

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These problems maintain the same ratio (1.97) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.