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Finding the Third Proportional to 275,322.75 and 401,000.25

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Solution

The third proportional to 275,322.75 and 401,000.25 is: 584,046.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    275,322.75 : 401,000.25 = 401,000.25 : x
  2. Step 2: Convert to fraction form
    275,322.75/401,000.25 = 401,000.25/x
  3. Step 3: Cross multiply
    275,322.75x = 401,000.25 × 401,000.25
  4. Step 4: Simplify right side
    275,322.75x = 160,801,200,500.06
  5. Step 5: Solve for x
    x = 160,801,200,500.06/275,322.75
  6. Step 6: Final answer
    x = 584,046.18

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Why These Related Problems?

These problems maintain the same ratio (1.46) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.