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Finding the Third Proportional to 275,533.50 and 425,577

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Solution

The third proportional to 275,533.50 and 425,577 is: 657,327.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    275,533.50 : 425,577 = 425,577 : x
  2. Step 2: Convert to fraction form
    275,533.50/425,577 = 425,577/x
  3. Step 3: Cross multiply
    275,533.50x = 425,577 × 425,577
  4. Step 4: Simplify right side
    275,533.50x = 181,115,782,929
  5. Step 5: Solve for x
    x = 181,115,782,929/275,533.50
  6. Step 6: Final answer
    x = 657,327.63

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Why These Related Problems?

These problems maintain the same ratio (1.54) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.