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Finding the Third Proportional to 229,182 and 504,858

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Solution

The third proportional to 229,182 and 504,858 is: 1,112,136.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    229,182 : 504,858 = 504,858 : x
  2. Step 2: Convert to fraction form
    229,182/504,858 = 504,858/x
  3. Step 3: Cross multiply
    229,182x = 504,858 × 504,858
  4. Step 4: Simplify right side
    229,182x = 254,881,600,164
  5. Step 5: Solve for x
    x = 254,881,600,164/229,182
  6. Step 6: Final answer
    x = 1,112,136.21

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Why These Related Problems?

These problems maintain the same ratio (2.20) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.