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Finding the Third Proportional to 305,253.75 and 651,033.75

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Solution

The third proportional to 305,253.75 and 651,033.75 is: 1,388,500.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    305,253.75 : 651,033.75 = 651,033.75 : x
  2. Step 2: Convert to fraction form
    305,253.75/651,033.75 = 651,033.75/x
  3. Step 3: Cross multiply
    305,253.75x = 651,033.75 × 651,033.75
  4. Step 4: Simplify right side
    305,253.75x = 423,844,943,639.06
  5. Step 5: Solve for x
    x = 423,844,943,639.06/305,253.75
  6. Step 6: Final answer
    x = 1,388,500.37

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These problems maintain the same ratio (2.13) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.