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Finding the Third Proportional to 416,319.75 and 895,773.94

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Solution

The third proportional to 416,319.75 and 895,773.94 is: 1,927,391.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    416,319.75 : 895,773.94 = 895,773.94 : x
  2. Step 2: Convert to fraction form
    416,319.75/895,773.94 = 895,773.94/x
  3. Step 3: Cross multiply
    416,319.75x = 895,773.94 × 895,773.94
  4. Step 4: Simplify right side
    416,319.75x = 802,410,947,104.25
  5. Step 5: Solve for x
    x = 802,410,947,104.25/416,319.75
  6. Step 6: Final answer
    x = 1,927,391.02

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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.