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Finding the Third Proportional to 380,487.50 and 571,232

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Solution

The third proportional to 380,487.50 and 571,232 is: 857,599.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    380,487.50 : 571,232 = 571,232 : x
  2. Step 2: Convert to fraction form
    380,487.50/571,232 = 571,232/x
  3. Step 3: Cross multiply
    380,487.50x = 571,232 × 571,232
  4. Step 4: Simplify right side
    380,487.50x = 326,305,997,824
  5. Step 5: Solve for x
    x = 326,305,997,824/380,487.50
  6. Step 6: Final answer
    x = 857,599.78

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.