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Finding the Third Proportional to 374,216.63 and 804,471.75

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Solution

The third proportional to 374,216.63 and 804,471.75 is: 1,729,412.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    374,216.63 : 804,471.75 = 804,471.75 : x
  2. Step 2: Convert to fraction form
    374,216.63/804,471.75 = 804,471.75/x
  3. Step 3: Cross multiply
    374,216.63x = 804,471.75 × 804,471.75
  4. Step 4: Simplify right side
    374,216.63x = 647,174,796,548.06
  5. Step 5: Solve for x
    x = 647,174,796,548.06/374,216.63
  6. Step 6: Final answer
    x = 1,729,412.20

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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.