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Finding the Third Proportional to 675,043.88 and 949,532.63

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Solution

The third proportional to 675,043.88 and 949,532.63 is: 1,335,634.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    675,043.88 : 949,532.63 = 949,532.63 : x
  2. Step 2: Convert to fraction form
    675,043.88/949,532.63 = 949,532.63/x
  3. Step 3: Cross multiply
    675,043.88x = 949,532.63 × 949,532.63
  4. Step 4: Simplify right side
    675,043.88x = 901,612,205,939.39
  5. Step 5: Solve for x
    x = 901,612,205,939.39/675,043.88
  6. Step 6: Final answer
    x = 1,335,634.97

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Why These Related Problems?

These problems maintain the same ratio (1.41) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.