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Finding the Third Proportional to 482,576 and 751,440

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Solution

The third proportional to 482,576 and 751,440 is: 1,170,099.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    482,576 : 751,440 = 751,440 : x
  2. Step 2: Convert to fraction form
    482,576/751,440 = 751,440/x
  3. Step 3: Cross multiply
    482,576x = 751,440 × 751,440
  4. Step 4: Simplify right side
    482,576x = 564,662,073,600
  5. Step 5: Solve for x
    x = 564,662,073,600/482,576
  6. Step 6: Final answer
    x = 1,170,099.78

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Why These Related Problems?

These problems maintain the same ratio (1.56) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.