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Finding the Third Proportional to 300,180.94 and 456,460.31

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Solution

The third proportional to 300,180.94 and 456,460.31 is: 694,101.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    300,180.94 : 456,460.31 = 456,460.31 : x
  2. Step 2: Convert to fraction form
    300,180.94/456,460.31 = 456,460.31/x
  3. Step 3: Cross multiply
    300,180.94x = 456,460.31 × 456,460.31
  4. Step 4: Simplify right side
    300,180.94x = 208,356,016,887.60
  5. Step 5: Solve for x
    x = 208,356,016,887.60/300,180.94
  6. Step 6: Final answer
    x = 694,101.43

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These problems maintain the same ratio (1.52) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.