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Finding the Third Proportional to 383,056.50 and 777,057

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Solution

The third proportional to 383,056.50 and 777,057 is: 1,576,314.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    383,056.50 : 777,057 = 777,057 : x
  2. Step 2: Convert to fraction form
    383,056.50/777,057 = 777,057/x
  3. Step 3: Cross multiply
    383,056.50x = 777,057 × 777,057
  4. Step 4: Simplify right side
    383,056.50x = 603,817,581,249
  5. Step 5: Solve for x
    x = 603,817,581,249/383,056.50
  6. Step 6: Final answer
    x = 1,576,314.67

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Why These Related Problems?

These problems maintain the same ratio (2.03) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.