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Finding the Third Proportional to 230,266 and 514,064

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Solution

The third proportional to 230,266 and 514,064 is: 1,147,637.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    230,266 : 514,064 = 514,064 : x
  2. Step 2: Convert to fraction form
    230,266/514,064 = 514,064/x
  3. Step 3: Cross multiply
    230,266x = 514,064 × 514,064
  4. Step 4: Simplify right side
    230,266x = 264,261,796,096
  5. Step 5: Solve for x
    x = 264,261,796,096/230,266
  6. Step 6: Final answer
    x = 1,147,637.06

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Why These Related Problems?

These problems maintain the same ratio (2.23) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.