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Finding the Third Proportional to 429,950.25 and 895,191.75

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Solution

The third proportional to 429,950.25 and 895,191.75 is: 1,863,862.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    429,950.25 : 895,191.75 = 895,191.75 : x
  2. Step 2: Convert to fraction form
    429,950.25/895,191.75 = 895,191.75/x
  3. Step 3: Cross multiply
    429,950.25x = 895,191.75 × 895,191.75
  4. Step 4: Simplify right side
    429,950.25x = 801,368,269,268.06
  5. Step 5: Solve for x
    x = 801,368,269,268.06/429,950.25
  6. Step 6: Final answer
    x = 1,863,862.78

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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.