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Finding the Third Proportional to 383,570 and 600,399

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Solution

The third proportional to 383,570 and 600,399 is: 939,799.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    383,570 : 600,399 = 600,399 : x
  2. Step 2: Convert to fraction form
    383,570/600,399 = 600,399/x
  3. Step 3: Cross multiply
    383,570x = 600,399 × 600,399
  4. Step 4: Simplify right side
    383,570x = 360,478,959,201
  5. Step 5: Solve for x
    x = 360,478,959,201/383,570
  6. Step 6: Final answer
    x = 939,799.67

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Why These Related Problems?

These problems maintain the same ratio (1.57) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.