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Finding the Third Proportional to 280,756.50 and 610,704.50

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Solution

The third proportional to 280,756.50 and 610,704.50 is: 1,328,410.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    280,756.50 : 610,704.50 = 610,704.50 : x
  2. Step 2: Convert to fraction form
    280,756.50/610,704.50 = 610,704.50/x
  3. Step 3: Cross multiply
    280,756.50x = 610,704.50 × 610,704.50
  4. Step 4: Simplify right side
    280,756.50x = 372,959,986,320.25
  5. Step 5: Solve for x
    x = 372,959,986,320.25/280,756.50
  6. Step 6: Final answer
    x = 1,328,410.87

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These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.