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Finding the Third Proportional to 451,821.75 and 602,361.75

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Solution

The third proportional to 451,821.75 and 602,361.75 is: 803,059.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    451,821.75 : 602,361.75 = 602,361.75 : x
  2. Step 2: Convert to fraction form
    451,821.75/602,361.75 = 602,361.75/x
  3. Step 3: Cross multiply
    451,821.75x = 602,361.75 × 602,361.75
  4. Step 4: Simplify right side
    451,821.75x = 362,839,677,863.06
  5. Step 5: Solve for x
    x = 362,839,677,863.06/451,821.75
  6. Step 6: Final answer
    x = 803,059.34

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These problems maintain the same ratio (1.33) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.