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Finding the Third Proportional to 229,956 and 493,512

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Solution

The third proportional to 229,956 and 493,512 is: 1,059,133.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    229,956 : 493,512 = 493,512 : x
  2. Step 2: Convert to fraction form
    229,956/493,512 = 493,512/x
  3. Step 3: Cross multiply
    229,956x = 493,512 × 493,512
  4. Step 4: Simplify right side
    229,956x = 243,554,094,144
  5. Step 5: Solve for x
    x = 243,554,094,144/229,956
  6. Step 6: Final answer
    x = 1,059,133.46

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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.