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Finding the Third Proportional to 230,094 and 492,975

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Solution

The third proportional to 230,094 and 492,975 is: 1,056,195.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    230,094 : 492,975 = 492,975 : x
  2. Step 2: Convert to fraction form
    230,094/492,975 = 492,975/x
  3. Step 3: Cross multiply
    230,094x = 492,975 × 492,975
  4. Step 4: Simplify right side
    230,094x = 243,024,350,625
  5. Step 5: Solve for x
    x = 243,024,350,625/230,094
  6. Step 6: Final answer
    x = 1,056,195.95

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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.