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Finding the Third Proportional to 446,435 and 673,677

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Solution

The third proportional to 446,435 and 673,677 is: 1,016,588.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    446,435 : 673,677 = 673,677 : x
  2. Step 2: Convert to fraction form
    446,435/673,677 = 673,677/x
  3. Step 3: Cross multiply
    446,435x = 673,677 × 673,677
  4. Step 4: Simplify right side
    446,435x = 453,840,700,329
  5. Step 5: Solve for x
    x = 453,840,700,329/446,435
  6. Step 6: Final answer
    x = 1,016,588.53

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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.