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Finding the Third Proportional to 416,374.50 and 895,896

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Solution

The third proportional to 416,374.50 and 895,896 is: 1,927,662.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    416,374.50 : 895,896 = 895,896 : x
  2. Step 2: Convert to fraction form
    416,374.50/895,896 = 895,896/x
  3. Step 3: Cross multiply
    416,374.50x = 895,896 × 895,896
  4. Step 4: Simplify right side
    416,374.50x = 802,629,642,816
  5. Step 5: Solve for x
    x = 802,629,642,816/416,374.50
  6. Step 6: Final answer
    x = 1,927,662.82

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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.