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Finding the Third Proportional to 272,259 and 591,754.50

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Solution

The third proportional to 272,259 and 591,754.50 is: 1,286,177.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    272,259 : 591,754.50 = 591,754.50 : x
  2. Step 2: Convert to fraction form
    272,259/591,754.50 = 591,754.50/x
  3. Step 3: Cross multiply
    272,259x = 591,754.50 × 591,754.50
  4. Step 4: Simplify right side
    272,259x = 350,173,388,270.25
  5. Step 5: Solve for x
    x = 350,173,388,270.25/272,259
  6. Step 6: Final answer
    x = 1,286,177.46

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