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Finding the Third Proportional to 473,601.09 and 729,082.69

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Solution

The third proportional to 473,601.09 and 729,082.69 is: 1,122,382.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    473,601.09 : 729,082.69 = 729,082.69 : x
  2. Step 2: Convert to fraction form
    473,601.09/729,082.69 = 729,082.69/x
  3. Step 3: Cross multiply
    473,601.09x = 729,082.69 × 729,082.69
  4. Step 4: Simplify right side
    473,601.09x = 531,561,565,212.22
  5. Step 5: Solve for x
    x = 531,561,565,212.22/473,601.09
  6. Step 6: Final answer
    x = 1,122,382.47

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These problems maintain the same ratio (1.54) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.