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Finding the Third Proportional to 454,506.75 and 672,972.75

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Solution

The third proportional to 454,506.75 and 672,972.75 is: 996,447.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    454,506.75 : 672,972.75 = 672,972.75 : x
  2. Step 2: Convert to fraction form
    454,506.75/672,972.75 = 672,972.75/x
  3. Step 3: Cross multiply
    454,506.75x = 672,972.75 × 672,972.75
  4. Step 4: Simplify right side
    454,506.75x = 452,892,322,242.56
  5. Step 5: Solve for x
    x = 452,892,322,242.56/454,506.75
  6. Step 6: Final answer
    x = 996,447.96

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