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Finding the Third Proportional to 230,054.63 and 471,264.75

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Solution

The third proportional to 230,054.63 and 471,264.75 is: 965,381.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    230,054.63 : 471,264.75 = 471,264.75 : x
  2. Step 2: Convert to fraction form
    230,054.63/471,264.75 = 471,264.75/x
  3. Step 3: Cross multiply
    230,054.63x = 471,264.75 × 471,264.75
  4. Step 4: Simplify right side
    230,054.63x = 222,090,464,592.56
  5. Step 5: Solve for x
    x = 222,090,464,592.56/230,054.63
  6. Step 6: Final answer
    x = 965,381.44

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These problems maintain the same ratio (2.05) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.