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Finding the Third Proportional to 353,038.50 and 777,336.75

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Solution

The third proportional to 353,038.50 and 777,336.75 is: 1,711,576.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    353,038.50 : 777,336.75 = 777,336.75 : x
  2. Step 2: Convert to fraction form
    353,038.50/777,336.75 = 777,336.75/x
  3. Step 3: Cross multiply
    353,038.50x = 777,336.75 × 777,336.75
  4. Step 4: Simplify right side
    353,038.50x = 604,252,422,900.56
  5. Step 5: Solve for x
    x = 604,252,422,900.56/353,038.50
  6. Step 6: Final answer
    x = 1,711,576.56

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These problems maintain the same ratio (2.20) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.