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Finding the Third Proportional to 305,932 and 672,431

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Solution

The third proportional to 305,932 and 672,431 is: 1,477,986.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    305,932 : 672,431 = 672,431 : x
  2. Step 2: Convert to fraction form
    305,932/672,431 = 672,431/x
  3. Step 3: Cross multiply
    305,932x = 672,431 × 672,431
  4. Step 4: Simplify right side
    305,932x = 452,163,449,761
  5. Step 5: Solve for x
    x = 452,163,449,761/305,932
  6. Step 6: Final answer
    x = 1,477,986.77

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These problems maintain the same ratio (2.20) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.