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Finding the Third Proportional to 445,630.50 and 962,275.50

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Solution

The third proportional to 445,630.50 and 962,275.50 is: 2,077,896.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    445,630.50 : 962,275.50 = 962,275.50 : x
  2. Step 2: Convert to fraction form
    445,630.50/962,275.50 = 962,275.50/x
  3. Step 3: Cross multiply
    445,630.50x = 962,275.50 × 962,275.50
  4. Step 4: Simplify right side
    445,630.50x = 925,974,137,900.25
  5. Step 5: Solve for x
    x = 925,974,137,900.25/445,630.50
  6. Step 6: Final answer
    x = 2,077,896.68

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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.