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Finding the Third Proportional to 446,202 and 636,012

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Solution

The third proportional to 446,202 and 636,012 is: 906,565.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    446,202 : 636,012 = 636,012 : x
  2. Step 2: Convert to fraction form
    446,202/636,012 = 636,012/x
  3. Step 3: Cross multiply
    446,202x = 636,012 × 636,012
  4. Step 4: Simplify right side
    446,202x = 404,511,264,144
  5. Step 5: Solve for x
    x = 404,511,264,144/446,202
  6. Step 6: Final answer
    x = 906,565.33

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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.