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Finding the Third Proportional to 429,954 and 895,198.50

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Solution

The third proportional to 429,954 and 895,198.50 is: 1,863,874.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    429,954 : 895,198.50 = 895,198.50 : x
  2. Step 2: Convert to fraction form
    429,954/895,198.50 = 895,198.50/x
  3. Step 3: Cross multiply
    429,954x = 895,198.50 × 895,198.50
  4. Step 4: Simplify right side
    429,954x = 801,380,354,402.25
  5. Step 5: Solve for x
    x = 801,380,354,402.25/429,954
  6. Step 6: Final answer
    x = 1,863,874.63

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These problems maintain the same ratio (2.08) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.