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Finding the Third Proportional to 675,056.25 and 949,551.75

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Solution

The third proportional to 675,056.25 and 949,551.75 is: 1,335,664.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    675,056.25 : 949,551.75 = 949,551.75 : x
  2. Step 2: Convert to fraction form
    675,056.25/949,551.75 = 949,551.75/x
  3. Step 3: Cross multiply
    675,056.25x = 949,551.75 × 949,551.75
  4. Step 4: Simplify right side
    675,056.25x = 901,648,525,928.06
  5. Step 5: Solve for x
    x = 901,648,525,928.06/675,056.25
  6. Step 6: Final answer
    x = 1,335,664.29

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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.