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Finding the Third Proportional to 303,228 and 659,556

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Solution

The third proportional to 303,228 and 659,556 is: 1,434,610.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    303,228 : 659,556 = 659,556 : x
  2. Step 2: Convert to fraction form
    303,228/659,556 = 659,556/x
  3. Step 3: Cross multiply
    303,228x = 659,556 × 659,556
  4. Step 4: Simplify right side
    303,228x = 435,014,117,136
  5. Step 5: Solve for x
    x = 435,014,117,136/303,228
  6. Step 6: Final answer
    x = 1,434,610.65

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.