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Finding the Third Proportional to 230,869 and 494,584

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Solution

The third proportional to 230,869 and 494,584 is: 1,059,533.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    230,869 : 494,584 = 494,584 : x
  2. Step 2: Convert to fraction form
    230,869/494,584 = 494,584/x
  3. Step 3: Cross multiply
    230,869x = 494,584 × 494,584
  4. Step 4: Simplify right side
    230,869x = 244,613,333,056
  5. Step 5: Solve for x
    x = 244,613,333,056/230,869
  6. Step 6: Final answer
    x = 1,059,533.04

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Why These Related Problems?

These problems maintain the same ratio (2.14) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.