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Finding the Third Proportional to 398,160 and 833,202

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Solution

The third proportional to 398,160 and 833,202 is: 1,743,584.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    398,160 : 833,202 = 833,202 : x
  2. Step 2: Convert to fraction form
    398,160/833,202 = 833,202/x
  3. Step 3: Cross multiply
    398,160x = 833,202 × 833,202
  4. Step 4: Simplify right side
    398,160x = 694,225,572,804
  5. Step 5: Solve for x
    x = 694,225,572,804/398,160
  6. Step 6: Final answer
    x = 1,743,584.42

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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.