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Finding the Third Proportional to 461,527.50 and 996,867

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Solution

The third proportional to 461,527.50 and 996,867 is: 2,153,162.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    461,527.50 : 996,867 = 996,867 : x
  2. Step 2: Convert to fraction form
    461,527.50/996,867 = 996,867/x
  3. Step 3: Cross multiply
    461,527.50x = 996,867 × 996,867
  4. Step 4: Simplify right side
    461,527.50x = 993,743,815,689
  5. Step 5: Solve for x
    x = 993,743,815,689/461,527.50
  6. Step 6: Final answer
    x = 2,153,162.74

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These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.