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Finding the Third Proportional to 246,969 and 393,093

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Solution

The third proportional to 246,969 and 393,093 is: 625,674.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    246,969 : 393,093 = 393,093 : x
  2. Step 2: Convert to fraction form
    246,969/393,093 = 393,093/x
  3. Step 3: Cross multiply
    246,969x = 393,093 × 393,093
  4. Step 4: Simplify right side
    246,969x = 154,522,106,649
  5. Step 5: Solve for x
    x = 154,522,106,649/246,969
  6. Step 6: Final answer
    x = 625,674.10

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Why These Related Problems?

These problems maintain the same ratio (1.59) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.