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Finding the Third Proportional to 451,981.75 and 683,804.25

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Solution

The third proportional to 451,981.75 and 683,804.25 is: 1,034,529.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    451,981.75 : 683,804.25 = 683,804.25 : x
  2. Step 2: Convert to fraction form
    451,981.75/683,804.25 = 683,804.25/x
  3. Step 3: Cross multiply
    451,981.75x = 683,804.25 × 683,804.25
  4. Step 4: Simplify right side
    451,981.75x = 467,588,252,318.06
  5. Step 5: Solve for x
    x = 467,588,252,318.06/451,981.75
  6. Step 6: Final answer
    x = 1,034,529.05

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These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.