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Finding the Third Proportional to 230,049.75 and 471,254.63

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Solution

The third proportional to 230,049.75 and 471,254.63 is: 965,360.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    230,049.75 : 471,254.63 = 471,254.63 : x
  2. Step 2: Convert to fraction form
    230,049.75/471,254.63 = 471,254.63/x
  3. Step 3: Cross multiply
    230,049.75x = 471,254.63 × 471,254.63
  4. Step 4: Simplify right side
    230,049.75x = 222,080,921,583.89
  5. Step 5: Solve for x
    x = 222,080,921,583.89/230,049.75
  6. Step 6: Final answer
    x = 965,360.41

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Why These Related Problems?

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