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Finding the Third Proportional to 306,182.11 and 476,040.38

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Solution

The third proportional to 306,182.11 and 476,040.38 is: 740,129.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    306,182.11 : 476,040.38 = 476,040.38 : x
  2. Step 2: Convert to fraction form
    306,182.11/476,040.38 = 476,040.38/x
  3. Step 3: Cross multiply
    306,182.11x = 476,040.38 × 476,040.38
  4. Step 4: Simplify right side
    306,182.11x = 226,614,438,630.14
  5. Step 5: Solve for x
    x = 226,614,438,630.14/306,182.11
  6. Step 6: Final answer
    x = 740,129.59

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Why These Related Problems?

These problems maintain the same ratio (1.55) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.