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Finding the Third Proportional to 259,644.50 and 539,928

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Solution

The third proportional to 259,644.50 and 539,928 is: 1,122,774.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    259,644.50 : 539,928 = 539,928 : x
  2. Step 2: Convert to fraction form
    259,644.50/539,928 = 539,928/x
  3. Step 3: Cross multiply
    259,644.50x = 539,928 × 539,928
  4. Step 4: Simplify right side
    259,644.50x = 291,522,245,184
  5. Step 5: Solve for x
    x = 291,522,245,184/259,644.50
  6. Step 6: Final answer
    x = 1,122,774.58

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Why These Related Problems?

These problems maintain the same ratio (2.08) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.