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Finding the Third Proportional to 282,696.75 and 437,163.75

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Solution

The third proportional to 282,696.75 and 437,163.75 is: 676,032.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    282,696.75 : 437,163.75 = 437,163.75 : x
  2. Step 2: Convert to fraction form
    282,696.75/437,163.75 = 437,163.75/x
  3. Step 3: Cross multiply
    282,696.75x = 437,163.75 × 437,163.75
  4. Step 4: Simplify right side
    282,696.75x = 191,112,144,314.06
  5. Step 5: Solve for x
    x = 191,112,144,314.06/282,696.75
  6. Step 6: Final answer
    x = 676,032.34

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These problems maintain the same ratio (1.55) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.