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Finding the Third Proportional to 279,144 and 398,707.50

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Solution

The third proportional to 279,144 and 398,707.50 is: 569,482.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    279,144 : 398,707.50 = 398,707.50 : x
  2. Step 2: Convert to fraction form
    279,144/398,707.50 = 398,707.50/x
  3. Step 3: Cross multiply
    279,144x = 398,707.50 × 398,707.50
  4. Step 4: Simplify right side
    279,144x = 158,967,670,556.25
  5. Step 5: Solve for x
    x = 158,967,670,556.25/279,144
  6. Step 6: Final answer
    x = 569,482.67

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These problems maintain the same ratio (1.43) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.