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Finding the Third Proportional to 230,079.23 and 471,309.89

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Solution

The third proportional to 230,079.23 and 471,309.89 is: 965,463.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    230,079.23 : 471,309.89 = 471,309.89 : x
  2. Step 2: Convert to fraction form
    230,079.23/471,309.89 = 471,309.89/x
  3. Step 3: Cross multiply
    230,079.23x = 471,309.89 × 471,309.89
  4. Step 4: Simplify right side
    230,079.23x = 222,133,013,000.95
  5. Step 5: Solve for x
    x = 222,133,013,000.95/230,079.23
  6. Step 6: Final answer
    x = 965,463.11

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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.