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Finding the Third Proportional to 360,175.50 and 521,667

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Solution

The third proportional to 360,175.50 and 521,667 is: 755,566.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    360,175.50 : 521,667 = 521,667 : x
  2. Step 2: Convert to fraction form
    360,175.50/521,667 = 521,667/x
  3. Step 3: Cross multiply
    360,175.50x = 521,667 × 521,667
  4. Step 4: Simplify right side
    360,175.50x = 272,136,458,889
  5. Step 5: Solve for x
    x = 272,136,458,889/360,175.50
  6. Step 6: Final answer
    x = 755,566.27

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Why These Related Problems?

These problems maintain the same ratio (1.45) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.