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Finding the Third Proportional to 537,715 and 825,375

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Solution

The third proportional to 537,715 and 825,375 is: 1,266,923.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    537,715 : 825,375 = 825,375 : x
  2. Step 2: Convert to fraction form
    537,715/825,375 = 825,375/x
  3. Step 3: Cross multiply
    537,715x = 825,375 × 825,375
  4. Step 4: Simplify right side
    537,715x = 681,243,890,625
  5. Step 5: Solve for x
    x = 681,243,890,625/537,715
  6. Step 6: Final answer
    x = 1,266,923.72

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These problems maintain the same ratio (1.53) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.