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Finding the Third Proportional to 678,271.50 and 1,049,766.75

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Solution

The third proportional to 678,271.50 and 1,049,766.75 is: 1,624,733.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    678,271.50 : 1,049,766.75 = 1,049,766.75 : x
  2. Step 2: Convert to fraction form
    678,271.50/1,049,766.75 = 1,049,766.75/x
  3. Step 3: Cross multiply
    678,271.50x = 1,049,766.75 × 1,049,766.75
  4. Step 4: Simplify right side
    678,271.50x = 1,102,010,229,405.56
  5. Step 5: Solve for x
    x = 1,102,010,229,405.56/678,271.50
  6. Step 6: Final answer
    x = 1,624,733.21

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Why These Related Problems?

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