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Finding the Third Proportional to 668,269.88 and 965,534.81

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Solution

The third proportional to 668,269.88 and 965,534.81 is: 1,395,031.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    668,269.88 : 965,534.81 = 965,534.81 : x
  2. Step 2: Convert to fraction form
    668,269.88/965,534.81 = 965,534.81/x
  3. Step 3: Cross multiply
    668,269.88x = 965,534.81 × 965,534.81
  4. Step 4: Simplify right side
    668,269.88x = 932,257,474,149.41
  5. Step 5: Solve for x
    x = 932,257,474,149.41/668,269.88
  6. Step 6: Final answer
    x = 1,395,031.42

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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.