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Finding the Third Proportional to 276,066 and 591,499.50

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Solution

The third proportional to 276,066 and 591,499.50 is: 1,267,347.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    276,066 : 591,499.50 = 591,499.50 : x
  2. Step 2: Convert to fraction form
    276,066/591,499.50 = 591,499.50/x
  3. Step 3: Cross multiply
    276,066x = 591,499.50 × 591,499.50
  4. Step 4: Simplify right side
    276,066x = 349,871,658,500.25
  5. Step 5: Solve for x
    x = 349,871,658,500.25/276,066
  6. Step 6: Final answer
    x = 1,267,347.88

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These problems maintain the same ratio (2.14) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.