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Finding the Third Proportional to 446,229 and 670,315.50

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Solution

The third proportional to 446,229 and 670,315.50 is: 1,006,933.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    446,229 : 670,315.50 = 670,315.50 : x
  2. Step 2: Convert to fraction form
    446,229/670,315.50 = 670,315.50/x
  3. Step 3: Cross multiply
    446,229x = 670,315.50 × 670,315.50
  4. Step 4: Simplify right side
    446,229x = 449,322,869,540.25
  5. Step 5: Solve for x
    x = 449,322,869,540.25/446,229
  6. Step 6: Final answer
    x = 1,006,933.37

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.