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Finding the Third Proportional to 359,751.75 and 519,738.75

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Solution

The third proportional to 359,751.75 and 519,738.75 is: 750,874.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    359,751.75 : 519,738.75 = 519,738.75 : x
  2. Step 2: Convert to fraction form
    359,751.75/519,738.75 = 519,738.75/x
  3. Step 3: Cross multiply
    359,751.75x = 519,738.75 × 519,738.75
  4. Step 4: Simplify right side
    359,751.75x = 270,128,368,251.56
  5. Step 5: Solve for x
    x = 270,128,368,251.56/359,751.75
  6. Step 6: Final answer
    x = 750,874.37

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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.