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Finding the Third Proportional to 446,434 and 673,676.50

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Solution

The third proportional to 446,434 and 673,676.50 is: 1,016,589.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    446,434 : 673,676.50 = 673,676.50 : x
  2. Step 2: Convert to fraction form
    446,434/673,676.50 = 673,676.50/x
  3. Step 3: Cross multiply
    446,434x = 673,676.50 × 673,676.50
  4. Step 4: Simplify right side
    446,434x = 453,840,026,652.25
  5. Step 5: Solve for x
    x = 453,840,026,652.25/446,434
  6. Step 6: Final answer
    x = 1,016,589.30

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.