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Finding the Third Proportional to 457,920 and 673,168

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Solution

The third proportional to 457,920 and 673,168 is: 989,594.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    457,920 : 673,168 = 673,168 : x
  2. Step 2: Convert to fraction form
    457,920/673,168 = 673,168/x
  3. Step 3: Cross multiply
    457,920x = 673,168 × 673,168
  4. Step 4: Simplify right side
    457,920x = 453,155,156,224
  5. Step 5: Solve for x
    x = 453,155,156,224/457,920
  6. Step 6: Final answer
    x = 989,594.59

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