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Finding the Third Proportional to 678,262.50 and 1,049,751.75

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Solution

The third proportional to 678,262.50 and 1,049,751.75 is: 1,624,708.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    678,262.50 : 1,049,751.75 = 1,049,751.75 : x
  2. Step 2: Convert to fraction form
    678,262.50/1,049,751.75 = 1,049,751.75/x
  3. Step 3: Cross multiply
    678,262.50x = 1,049,751.75 × 1,049,751.75
  4. Step 4: Simplify right side
    678,262.50x = 1,101,978,736,628.06
  5. Step 5: Solve for x
    x = 1,101,978,736,628.06/678,262.50
  6. Step 6: Final answer
    x = 1,624,708.33

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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.