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Finding the Third Proportional to 229,100 and 492,064

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Solution

The third proportional to 229,100 and 492,064 is: 1,056,861.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    229,100 : 492,064 = 492,064 : x
  2. Step 2: Convert to fraction form
    229,100/492,064 = 492,064/x
  3. Step 3: Cross multiply
    229,100x = 492,064 × 492,064
  4. Step 4: Simplify right side
    229,100x = 242,126,980,096
  5. Step 5: Solve for x
    x = 242,126,980,096/229,100
  6. Step 6: Final answer
    x = 1,056,861.55

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Why These Related Problems?

These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.