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Finding the Third Proportional to 280,611 and 425,425.50

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Solution

The third proportional to 280,611 and 425,425.50 is: 644,974.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    280,611 : 425,425.50 = 425,425.50 : x
  2. Step 2: Convert to fraction form
    280,611/425,425.50 = 425,425.50/x
  3. Step 3: Cross multiply
    280,611x = 425,425.50 × 425,425.50
  4. Step 4: Simplify right side
    280,611x = 180,986,856,050.25
  5. Step 5: Solve for x
    x = 180,986,856,050.25/280,611
  6. Step 6: Final answer
    x = 644,974.20

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These problems maintain the same ratio (1.52) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.