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Finding the Third Proportional to 300,021 and 438,182

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Solution

The third proportional to 300,021 and 438,182 is: 639,966.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    300,021 : 438,182 = 438,182 : x
  2. Step 2: Convert to fraction form
    300,021/438,182 = 438,182/x
  3. Step 3: Cross multiply
    300,021x = 438,182 × 438,182
  4. Step 4: Simplify right side
    300,021x = 192,003,465,124
  5. Step 5: Solve for x
    x = 192,003,465,124/300,021
  6. Step 6: Final answer
    x = 639,966.75

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Why These Related Problems?

These problems maintain the same ratio (1.46) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.