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Finding the Third Proportional to 272,571.75 and 406,201.50

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Solution

The third proportional to 272,571.75 and 406,201.50 is: 605,343.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    272,571.75 : 406,201.50 = 406,201.50 : x
  2. Step 2: Convert to fraction form
    272,571.75/406,201.50 = 406,201.50/x
  3. Step 3: Cross multiply
    272,571.75x = 406,201.50 × 406,201.50
  4. Step 4: Simplify right side
    272,571.75x = 164,999,658,602.25
  5. Step 5: Solve for x
    x = 164,999,658,602.25/272,571.75
  6. Step 6: Final answer
    x = 605,343.95

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These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.