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Finding the Third Proportional to 291,609.75 and 476,174.25

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Solution

The third proportional to 291,609.75 and 476,174.25 is: 777,552.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    291,609.75 : 476,174.25 = 476,174.25 : x
  2. Step 2: Convert to fraction form
    291,609.75/476,174.25 = 476,174.25/x
  3. Step 3: Cross multiply
    291,609.75x = 476,174.25 × 476,174.25
  4. Step 4: Simplify right side
    291,609.75x = 226,741,916,363.06
  5. Step 5: Solve for x
    x = 226,741,916,363.06/291,609.75
  6. Step 6: Final answer
    x = 777,552.59

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Why These Related Problems?

These problems maintain the same ratio (1.63) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.