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Finding the Third Proportional to 276,742.50 and 601,462.50

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Solution

The third proportional to 276,742.50 and 601,462.50 is: 1,307,197.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    276,742.50 : 601,462.50 = 601,462.50 : x
  2. Step 2: Convert to fraction form
    276,742.50/601,462.50 = 601,462.50/x
  3. Step 3: Cross multiply
    276,742.50x = 601,462.50 × 601,462.50
  4. Step 4: Simplify right side
    276,742.50x = 361,757,138,906.25
  5. Step 5: Solve for x
    x = 361,757,138,906.25/276,742.50
  6. Step 6: Final answer
    x = 1,307,197.63

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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.