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Finding the Third Proportional to 263,299.50 and 385,576.50

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Solution

The third proportional to 263,299.50 and 385,576.50 is: 564,639.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    263,299.50 : 385,576.50 = 385,576.50 : x
  2. Step 2: Convert to fraction form
    263,299.50/385,576.50 = 385,576.50/x
  3. Step 3: Cross multiply
    263,299.50x = 385,576.50 × 385,576.50
  4. Step 4: Simplify right side
    263,299.50x = 148,669,237,352.25
  5. Step 5: Solve for x
    x = 148,669,237,352.25/263,299.50
  6. Step 6: Final answer
    x = 564,639.27

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Why These Related Problems?

These problems maintain the same ratio (1.46) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.