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Finding the Third Proportional to 446,433 and 673,674.50

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Solution

The third proportional to 446,433 and 673,674.50 is: 1,016,585.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    446,433 : 673,674.50 = 673,674.50 : x
  2. Step 2: Convert to fraction form
    446,433/673,674.50 = 673,674.50/x
  3. Step 3: Cross multiply
    446,433x = 673,674.50 × 673,674.50
  4. Step 4: Simplify right side
    446,433x = 453,837,331,950.25
  5. Step 5: Solve for x
    x = 453,837,331,950.25/446,433
  6. Step 6: Final answer
    x = 1,016,585.54

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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.