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Finding the Third Proportional to 288,114.75 and 415,010.25

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Solution

The third proportional to 288,114.75 and 415,010.25 is: 597,794.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    288,114.75 : 415,010.25 = 415,010.25 : x
  2. Step 2: Convert to fraction form
    288,114.75/415,010.25 = 415,010.25/x
  3. Step 3: Cross multiply
    288,114.75x = 415,010.25 × 415,010.25
  4. Step 4: Simplify right side
    288,114.75x = 172,233,507,605.06
  5. Step 5: Solve for x
    x = 172,233,507,605.06/288,114.75
  6. Step 6: Final answer
    x = 597,794.83

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Why These Related Problems?

These problems maintain the same ratio (1.44) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.