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Finding the Third Proportional to 229,182 and 503,556

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Solution

The third proportional to 229,182 and 503,556 is: 1,106,407.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    229,182 : 503,556 = 503,556 : x
  2. Step 2: Convert to fraction form
    229,182/503,556 = 503,556/x
  3. Step 3: Cross multiply
    229,182x = 503,556 × 503,556
  4. Step 4: Simplify right side
    229,182x = 253,568,645,136
  5. Step 5: Solve for x
    x = 253,568,645,136/229,182
  6. Step 6: Final answer
    x = 1,106,407.33

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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.