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Finding the Third Proportional to 454,492 and 672,954

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Solution

The third proportional to 454,492 and 672,954 is: 996,424.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    454,492 : 672,954 = 672,954 : x
  2. Step 2: Convert to fraction form
    454,492/672,954 = 672,954/x
  3. Step 3: Cross multiply
    454,492x = 672,954 × 672,954
  4. Step 4: Simplify right side
    454,492x = 452,867,086,116
  5. Step 5: Solve for x
    x = 452,867,086,116/454,492
  6. Step 6: Final answer
    x = 996,424.77

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Why These Related Problems?

These problems maintain the same ratio (1.48) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.