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Finding the Third Proportional to 359,756 and 519,744

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Solution

The third proportional to 359,756 and 519,744 is: 750,880.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    359,756 : 519,744 = 519,744 : x
  2. Step 2: Convert to fraction form
    359,756/519,744 = 519,744/x
  3. Step 3: Cross multiply
    359,756x = 519,744 × 519,744
  4. Step 4: Simplify right side
    359,756x = 270,133,825,536
  5. Step 5: Solve for x
    x = 270,133,825,536/359,756
  6. Step 6: Final answer
    x = 750,880.67

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Why These Related Problems?

These problems maintain the same ratio (1.44) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.