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Finding the Third Proportional to 272,200.50 and 591,003

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Solution

The third proportional to 272,200.50 and 591,003 is: 1,283,188.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    272,200.50 : 591,003 = 591,003 : x
  2. Step 2: Convert to fraction form
    272,200.50/591,003 = 591,003/x
  3. Step 3: Cross multiply
    272,200.50x = 591,003 × 591,003
  4. Step 4: Simplify right side
    272,200.50x = 349,284,546,009
  5. Step 5: Solve for x
    x = 349,284,546,009/272,200.50
  6. Step 6: Final answer
    x = 1,283,188.48

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Why These Related Problems?

These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.