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Finding the Third Proportional to 275,553 and 417,480.75

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Solution

The third proportional to 275,553 and 417,480.75 is: 632,510.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    275,553 : 417,480.75 = 417,480.75 : x
  2. Step 2: Convert to fraction form
    275,553/417,480.75 = 417,480.75/x
  3. Step 3: Cross multiply
    275,553x = 417,480.75 × 417,480.75
  4. Step 4: Simplify right side
    275,553x = 174,290,176,620.56
  5. Step 5: Solve for x
    x = 174,290,176,620.56/275,553
  6. Step 6: Final answer
    x = 632,510.54

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Why These Related Problems?

These problems maintain the same ratio (1.52) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.