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Finding the Third Proportional to 446,161.50 and 636,018.75

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Solution

The third proportional to 446,161.50 and 636,018.75 is: 906,666.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    446,161.50 : 636,018.75 = 636,018.75 : x
  2. Step 2: Convert to fraction form
    446,161.50/636,018.75 = 636,018.75/x
  3. Step 3: Cross multiply
    446,161.50x = 636,018.75 × 636,018.75
  4. Step 4: Simplify right side
    446,161.50x = 404,519,850,351.56
  5. Step 5: Solve for x
    x = 404,519,850,351.56/446,161.50
  6. Step 6: Final answer
    x = 906,666.87

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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.