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Finding the Third Proportional to 441,607.50 and 983,128.50

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Solution

The third proportional to 441,607.50 and 983,128.50 is: 2,188,689.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    441,607.50 : 983,128.50 = 983,128.50 : x
  2. Step 2: Convert to fraction form
    441,607.50/983,128.50 = 983,128.50/x
  3. Step 3: Cross multiply
    441,607.50x = 983,128.50 × 983,128.50
  4. Step 4: Simplify right side
    441,607.50x = 966,541,647,512.25
  5. Step 5: Solve for x
    x = 966,541,647,512.25/441,607.50
  6. Step 6: Final answer
    x = 2,188,689.38

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Why These Related Problems?

These problems maintain the same ratio (2.23) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.