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Finding the Third Proportional to 446,431 and 673,672

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Solution

The third proportional to 446,431 and 673,672 is: 1,016,582.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    446,431 : 673,672 = 673,672 : x
  2. Step 2: Convert to fraction form
    446,431/673,672 = 673,672/x
  3. Step 3: Cross multiply
    446,431x = 673,672 × 673,672
  4. Step 4: Simplify right side
    446,431x = 453,833,963,584
  5. Step 5: Solve for x
    x = 453,833,963,584/446,431
  6. Step 6: Final answer
    x = 1,016,582.55

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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.