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Finding the Third Proportional to 457,906 and 673,142

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Solution

The third proportional to 457,906 and 673,142 is: 989,548.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    457,906 : 673,142 = 673,142 : x
  2. Step 2: Convert to fraction form
    457,906/673,142 = 673,142/x
  3. Step 3: Cross multiply
    457,906x = 673,142 × 673,142
  4. Step 4: Simplify right side
    457,906x = 453,120,152,164
  5. Step 5: Solve for x
    x = 453,120,152,164/457,906
  6. Step 6: Final answer
    x = 989,548.41

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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.