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Finding the Third Proportional to 457,946 and 673,676

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Solution

The third proportional to 457,946 and 673,676 is: 991,032.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    457,946 : 673,676 = 673,676 : x
  2. Step 2: Convert to fraction form
    457,946/673,676 = 673,676/x
  3. Step 3: Cross multiply
    457,946x = 673,676 × 673,676
  4. Step 4: Simplify right side
    457,946x = 453,839,352,976
  5. Step 5: Solve for x
    x = 453,839,352,976/457,946
  6. Step 6: Final answer
    x = 991,032.46

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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.