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Finding the Third Proportional to 457,954 and 673,680

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Solution

The third proportional to 457,954 and 673,680 is: 991,026.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    457,954 : 673,680 = 673,680 : x
  2. Step 2: Convert to fraction form
    457,954/673,680 = 673,680/x
  3. Step 3: Cross multiply
    457,954x = 673,680 × 673,680
  4. Step 4: Simplify right side
    457,954x = 453,844,742,400
  5. Step 5: Solve for x
    x = 453,844,742,400/457,954
  6. Step 6: Final answer
    x = 991,026.92

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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.