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Finding the Third Proportional to 446,430.75 and 673,671.38

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Solution

The third proportional to 446,430.75 and 673,671.38 is: 1,016,581.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    446,430.75 : 673,671.38 = 673,671.38 : x
  2. Step 2: Convert to fraction form
    446,430.75/673,671.38 = 673,671.38/x
  3. Step 3: Cross multiply
    446,430.75x = 673,671.38 × 673,671.38
  4. Step 4: Simplify right side
    446,430.75x = 453,833,121,494.39
  5. Step 5: Solve for x
    x = 453,833,121,494.39/446,430.75
  6. Step 6: Final answer
    x = 1,016,581.23

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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.