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Finding the Third Proportional to 231,096 and 484,548

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Solution

The third proportional to 231,096 and 484,548 is: 1,015,970.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    231,096 : 484,548 = 484,548 : x
  2. Step 2: Convert to fraction form
    231,096/484,548 = 484,548/x
  3. Step 3: Cross multiply
    231,096x = 484,548 × 484,548
  4. Step 4: Simplify right side
    231,096x = 234,786,764,304
  5. Step 5: Solve for x
    x = 234,786,764,304/231,096
  6. Step 6: Final answer
    x = 1,015,970.70

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These problems maintain the same ratio (2.10) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.