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Finding the Third Proportional to 342,702 and 737,916

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Solution

The third proportional to 342,702 and 737,916 is: 1,588,902.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    342,702 : 737,916 = 737,916 : x
  2. Step 2: Convert to fraction form
    342,702/737,916 = 737,916/x
  3. Step 3: Cross multiply
    342,702x = 737,916 × 737,916
  4. Step 4: Simplify right side
    342,702x = 544,520,023,056
  5. Step 5: Solve for x
    x = 544,520,023,056/342,702
  6. Step 6: Final answer
    x = 1,588,902.38

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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.