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Finding the Third Proportional to 668,268 and 965,532

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Solution

The third proportional to 668,268 and 965,532 is: 1,395,027.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    668,268 : 965,532 = 965,532 : x
  2. Step 2: Convert to fraction form
    668,268/965,532 = 965,532/x
  3. Step 3: Cross multiply
    668,268x = 965,532 × 965,532
  4. Step 4: Simplify right side
    668,268x = 932,252,043,024
  5. Step 5: Solve for x
    x = 932,252,043,024/668,268
  6. Step 6: Final answer
    x = 1,395,027.21

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Why These Related Problems?

These problems maintain the same ratio (1.44) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.