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Finding the Third Proportional to 443,916 and 962,527.50

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Solution

The third proportional to 443,916 and 962,527.50 is: 2,087,014.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    443,916 : 962,527.50 = 962,527.50 : x
  2. Step 2: Convert to fraction form
    443,916/962,527.50 = 962,527.50/x
  3. Step 3: Cross multiply
    443,916x = 962,527.50 × 962,527.50
  4. Step 4: Simplify right side
    443,916x = 926,459,188,256.25
  5. Step 5: Solve for x
    x = 926,459,188,256.25/443,916
  6. Step 6: Final answer
    x = 2,087,014.63

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Why These Related Problems?

These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.