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Finding the Third Proportional to 228,576 and 501,448

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Solution

The third proportional to 228,576 and 501,448 is: 1,100,072.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    228,576 : 501,448 = 501,448 : x
  2. Step 2: Convert to fraction form
    228,576/501,448 = 501,448/x
  3. Step 3: Cross multiply
    228,576x = 501,448 × 501,448
  4. Step 4: Simplify right side
    228,576x = 251,450,096,704
  5. Step 5: Solve for x
    x = 251,450,096,704/228,576
  6. Step 6: Final answer
    x = 1,100,072.17

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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.