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Finding the Third Proportional to 230,096 and 492,980

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Solution

The third proportional to 230,096 and 492,980 is: 1,056,208.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    230,096 : 492,980 = 492,980 : x
  2. Step 2: Convert to fraction form
    230,096/492,980 = 492,980/x
  3. Step 3: Cross multiply
    230,096x = 492,980 × 492,980
  4. Step 4: Simplify right side
    230,096x = 243,029,280,400
  5. Step 5: Solve for x
    x = 243,029,280,400/230,096
  6. Step 6: Final answer
    x = 1,056,208.19

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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.