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Finding the Third Proportional to 433,175 and 673,325

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Solution

The third proportional to 433,175 and 673,325 is: 1,046,612.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    433,175 : 673,325 = 673,325 : x
  2. Step 2: Convert to fraction form
    433,175/673,325 = 673,325/x
  3. Step 3: Cross multiply
    433,175x = 673,325 × 673,325
  4. Step 4: Simplify right side
    433,175x = 453,366,555,625
  5. Step 5: Solve for x
    x = 453,366,555,625/433,175
  6. Step 6: Final answer
    x = 1,046,612.93

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Why These Related Problems?

These problems maintain the same ratio (1.55) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.