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Finding the Third Proportional to 457,928 and 673,180

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Solution

The third proportional to 457,928 and 673,180 is: 989,612.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    457,928 : 673,180 = 673,180 : x
  2. Step 2: Convert to fraction form
    457,928/673,180 = 673,180/x
  3. Step 3: Cross multiply
    457,928x = 673,180 × 673,180
  4. Step 4: Simplify right side
    457,928x = 453,171,312,400
  5. Step 5: Solve for x
    x = 453,171,312,400/457,928
  6. Step 6: Final answer
    x = 989,612.59

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Why These Related Problems?

These problems maintain the same ratio (1.47) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.