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Finding the Third Proportional to 363,529.69 and 776,538.56

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Solution

The third proportional to 363,529.69 and 776,538.56 is: 1,658,770.00

Step by Step Solution

  1. Step 1: Write the proportion equation
    363,529.69 : 776,538.56 = 776,538.56 : x
  2. Step 2: Convert to fraction form
    363,529.69/776,538.56 = 776,538.56/x
  3. Step 3: Cross multiply
    363,529.69x = 776,538.56 × 776,538.56
  4. Step 4: Simplify right side
    363,529.69x = 603,012,139,049.57
  5. Step 5: Solve for x
    x = 603,012,139,049.57/363,529.69
  6. Step 6: Final answer
    x = 1,658,770.00

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These problems maintain the same ratio (2.14) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.