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Finding the Third Proportional to 201,364 and 441,478

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Solution

The third proportional to 201,364 and 441,478 is: 967,912.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    201,364 : 441,478 = 441,478 : x
  2. Step 2: Convert to fraction form
    201,364/441,478 = 441,478/x
  3. Step 3: Cross multiply
    201,364x = 441,478 × 441,478
  4. Step 4: Simplify right side
    201,364x = 194,902,824,484
  5. Step 5: Solve for x
    x = 194,902,824,484/201,364
  6. Step 6: Final answer
    x = 967,912.96

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Why These Related Problems?

These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.