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Finding the Third Proportional to 237,890 and 347,903

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Solution

The third proportional to 237,890 and 347,903 is: 508,791.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    237,890 : 347,903 = 347,903 : x
  2. Step 2: Convert to fraction form
    237,890/347,903 = 347,903/x
  3. Step 3: Cross multiply
    237,890x = 347,903 × 347,903
  4. Step 4: Simplify right side
    237,890x = 121,036,497,409
  5. Step 5: Solve for x
    x = 121,036,497,409/237,890
  6. Step 6: Final answer
    x = 508,791.87

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These problems maintain the same ratio (1.46) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.