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Finding the Third Proportional to 397,286 and 510,096

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Solution

The third proportional to 397,286 and 510,096 is: 654,938.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    397,286 : 510,096 = 510,096 : x
  2. Step 2: Convert to fraction form
    397,286/510,096 = 510,096/x
  3. Step 3: Cross multiply
    397,286x = 510,096 × 510,096
  4. Step 4: Simplify right side
    397,286x = 260,197,929,216
  5. Step 5: Solve for x
    x = 260,197,929,216/397,286
  6. Step 6: Final answer
    x = 654,938.58

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Why These Related Problems?

These problems maintain the same ratio (1.28) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.