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Finding the Third Proportional to 375,273.75 and 552,984.75

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Solution

The third proportional to 375,273.75 and 552,984.75 is: 814,850.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    375,273.75 : 552,984.75 = 552,984.75 : x
  2. Step 2: Convert to fraction form
    375,273.75/552,984.75 = 552,984.75/x
  3. Step 3: Cross multiply
    375,273.75x = 552,984.75 × 552,984.75
  4. Step 4: Simplify right side
    375,273.75x = 305,792,133,732.56
  5. Step 5: Solve for x
    x = 305,792,133,732.56/375,273.75
  6. Step 6: Final answer
    x = 814,850.85

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Why These Related Problems?

These problems maintain the same ratio (1.47) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.