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Finding the Third Proportional to 246,944 and 368,790

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Solution

The third proportional to 246,944 and 368,790 is: 550,756.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    246,944 : 368,790 = 368,790 : x
  2. Step 2: Convert to fraction form
    246,944/368,790 = 368,790/x
  3. Step 3: Cross multiply
    246,944x = 368,790 × 368,790
  4. Step 4: Simplify right side
    246,944x = 136,006,064,100
  5. Step 5: Solve for x
    x = 136,006,064,100/246,944
  6. Step 6: Final answer
    x = 550,756.71

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.