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Finding the Third Proportional to 231,669 and 474,625

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Solution

The third proportional to 231,669 and 474,625 is: 972,373.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    231,669 : 474,625 = 474,625 : x
  2. Step 2: Convert to fraction form
    231,669/474,625 = 474,625/x
  3. Step 3: Cross multiply
    231,669x = 474,625 × 474,625
  4. Step 4: Simplify right side
    231,669x = 225,268,890,625
  5. Step 5: Solve for x
    x = 225,268,890,625/231,669
  6. Step 6: Final answer
    x = 972,373.91

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Why These Related Problems?

These problems maintain the same ratio (2.05) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.