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Finding the Third Proportional to 598,496.25 and 839,809

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Solution

The third proportional to 598,496.25 and 839,809 is: 1,178,418.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    598,496.25 : 839,809 = 839,809 : x
  2. Step 2: Convert to fraction form
    598,496.25/839,809 = 839,809/x
  3. Step 3: Cross multiply
    598,496.25x = 839,809 × 839,809
  4. Step 4: Simplify right side
    598,496.25x = 705,279,156,481
  5. Step 5: Solve for x
    x = 705,279,156,481/598,496.25
  6. Step 6: Final answer
    x = 1,178,418.67

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Why These Related Problems?

These problems maintain the same ratio (1.40) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.