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Finding the Third Proportional to 244,938 and 346,683

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Solution

The third proportional to 244,938 and 346,683 is: 490,691.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    244,938 : 346,683 = 346,683 : x
  2. Step 2: Convert to fraction form
    244,938/346,683 = 346,683/x
  3. Step 3: Cross multiply
    244,938x = 346,683 × 346,683
  4. Step 4: Simplify right side
    244,938x = 120,189,102,489
  5. Step 5: Solve for x
    x = 120,189,102,489/244,938
  6. Step 6: Final answer
    x = 490,691.94

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These problems maintain the same ratio (1.42) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.