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Finding the Third Proportional to 444,960 and 953,232

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Solution

The third proportional to 444,960 and 953,232 is: 2,042,096.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    444,960 : 953,232 = 953,232 : x
  2. Step 2: Convert to fraction form
    444,960/953,232 = 953,232/x
  3. Step 3: Cross multiply
    444,960x = 953,232 × 953,232
  4. Step 4: Simplify right side
    444,960x = 908,651,245,824
  5. Step 5: Solve for x
    x = 908,651,245,824/444,960
  6. Step 6: Final answer
    x = 2,042,096.47

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Why These Related Problems?

These problems maintain the same ratio (2.14) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.