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Finding the Third Proportional to 263,670.19 and 433,231.03

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Solution

The third proportional to 263,670.19 and 433,231.03 is: 711,832.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    263,670.19 : 433,231.03 = 433,231.03 : x
  2. Step 2: Convert to fraction form
    263,670.19/433,231.03 = 433,231.03/x
  3. Step 3: Cross multiply
    263,670.19x = 433,231.03 × 433,231.03
  4. Step 4: Simplify right side
    263,670.19x = 187,689,126,437.94
  5. Step 5: Solve for x
    x = 187,689,126,437.94/263,670.19
  6. Step 6: Final answer
    x = 711,832.95

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These problems maintain the same ratio (1.64) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.