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Finding the Third Proportional to 263,692 and 546,064

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Solution

The third proportional to 263,692 and 546,064 is: 1,130,811.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    263,692 : 546,064 = 546,064 : x
  2. Step 2: Convert to fraction form
    263,692/546,064 = 546,064/x
  3. Step 3: Cross multiply
    263,692x = 546,064 × 546,064
  4. Step 4: Simplify right side
    263,692x = 298,185,892,096
  5. Step 5: Solve for x
    x = 298,185,892,096/263,692
  6. Step 6: Final answer
    x = 1,130,811.30

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Why These Related Problems?

These problems maintain the same ratio (2.07) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.