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Finding the Third Proportional to 398,362 and 933,211

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Solution

The third proportional to 398,362 and 933,211 is: 2,186,159.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    398,362 : 933,211 = 933,211 : x
  2. Step 2: Convert to fraction form
    398,362/933,211 = 933,211/x
  3. Step 3: Cross multiply
    398,362x = 933,211 × 933,211
  4. Step 4: Simplify right side
    398,362x = 870,882,770,521
  5. Step 5: Solve for x
    x = 870,882,770,521/398,362
  6. Step 6: Final answer
    x = 2,186,159.25

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Why These Related Problems?

These problems maintain the same ratio (2.34) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.