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Finding the Third Proportional to 312,204 and 446,133

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Solution

The third proportional to 312,204 and 446,133 is: 637,514.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    312,204 : 446,133 = 446,133 : x
  2. Step 2: Convert to fraction form
    312,204/446,133 = 446,133/x
  3. Step 3: Cross multiply
    312,204x = 446,133 × 446,133
  4. Step 4: Simplify right side
    312,204x = 199,034,653,689
  5. Step 5: Solve for x
    x = 199,034,653,689/312,204
  6. Step 6: Final answer
    x = 637,514.75

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Why These Related Problems?

These problems maintain the same ratio (1.43) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.