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Finding the Third Proportional to 282,381 and 550,576.50

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Solution

The third proportional to 282,381 and 550,576.50 is: 1,073,494.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    282,381 : 550,576.50 = 550,576.50 : x
  2. Step 2: Convert to fraction form
    282,381/550,576.50 = 550,576.50/x
  3. Step 3: Cross multiply
    282,381x = 550,576.50 × 550,576.50
  4. Step 4: Simplify right side
    282,381x = 303,134,482,352.25
  5. Step 5: Solve for x
    x = 303,134,482,352.25/282,381
  6. Step 6: Final answer
    x = 1,073,494.61

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Why These Related Problems?

These problems maintain the same ratio (1.95) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.