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Finding the Third Proportional to 397,258 and 907,601

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Solution

The third proportional to 397,258 and 907,601 is: 2,073,563.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    397,258 : 907,601 = 907,601 : x
  2. Step 2: Convert to fraction form
    397,258/907,601 = 907,601/x
  3. Step 3: Cross multiply
    397,258x = 907,601 × 907,601
  4. Step 4: Simplify right side
    397,258x = 823,739,575,201
  5. Step 5: Solve for x
    x = 823,739,575,201/397,258
  6. Step 6: Final answer
    x = 2,073,563.21

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Why These Related Problems?

These problems maintain the same ratio (2.28) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.