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Finding the Third Proportional to 397,321 and 868,916

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Solution

The third proportional to 397,321 and 868,916 is: 1,900,264.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    397,321 : 868,916 = 868,916 : x
  2. Step 2: Convert to fraction form
    397,321/868,916 = 868,916/x
  3. Step 3: Cross multiply
    397,321x = 868,916 × 868,916
  4. Step 4: Simplify right side
    397,321x = 755,015,015,056
  5. Step 5: Solve for x
    x = 755,015,015,056/397,321
  6. Step 6: Final answer
    x = 1,900,264.56

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Why These Related Problems?

These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.