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Finding the Third Proportional to 398,108 and 833,088

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Solution

The third proportional to 398,108 and 833,088 is: 1,743,335.01

Step by Step Solution

  1. Step 1: Write the proportion equation
    398,108 : 833,088 = 833,088 : x
  2. Step 2: Convert to fraction form
    398,108/833,088 = 833,088/x
  3. Step 3: Cross multiply
    398,108x = 833,088 × 833,088
  4. Step 4: Simplify right side
    398,108x = 694,035,615,744
  5. Step 5: Solve for x
    x = 694,035,615,744/398,108
  6. Step 6: Final answer
    x = 1,743,335.01

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Why These Related Problems?

These problems maintain the same ratio (2.09) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.