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Finding the Third Proportional to 334,093 and 719,885

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Solution

The third proportional to 334,093 and 719,885 is: 1,551,168.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    334,093 : 719,885 = 719,885 : x
  2. Step 2: Convert to fraction form
    334,093/719,885 = 719,885/x
  3. Step 3: Cross multiply
    334,093x = 719,885 × 719,885
  4. Step 4: Simplify right side
    334,093x = 518,234,413,225
  5. Step 5: Solve for x
    x = 518,234,413,225/334,093
  6. Step 6: Final answer
    x = 1,551,168.13

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Why These Related Problems?

These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.