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Finding the Third Proportional to 416,398.50 and 895,941

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Solution

The third proportional to 416,398.50 and 895,941 is: 1,927,745.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    416,398.50 : 895,941 = 895,941 : x
  2. Step 2: Convert to fraction form
    416,398.50/895,941 = 895,941/x
  3. Step 3: Cross multiply
    416,398.50x = 895,941 × 895,941
  4. Step 4: Simplify right side
    416,398.50x = 802,710,275,481
  5. Step 5: Solve for x
    x = 802,710,275,481/416,398.50
  6. Step 6: Final answer
    x = 1,927,745.36

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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.