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Finding the Third Proportional to 416,198.25 and 895,561.31

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Solution

The third proportional to 416,198.25 and 895,561.31 is: 1,927,038.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    416,198.25 : 895,561.31 = 895,561.31 : x
  2. Step 2: Convert to fraction form
    416,198.25/895,561.31 = 895,561.31/x
  3. Step 3: Cross multiply
    416,198.25x = 895,561.31 × 895,561.31
  4. Step 4: Simplify right side
    416,198.25x = 802,030,064,446.72
  5. Step 5: Solve for x
    x = 802,030,064,446.72/416,198.25
  6. Step 6: Final answer
    x = 1,927,038.53

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These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.