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Finding the Third Proportional to 276,799 and 427,024.50

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Solution

The third proportional to 276,799 and 427,024.50 is: 658,781.01

Step by Step Solution

  1. Step 1: Write the proportion equation
    276,799 : 427,024.50 = 427,024.50 : x
  2. Step 2: Convert to fraction form
    276,799/427,024.50 = 427,024.50/x
  3. Step 3: Cross multiply
    276,799x = 427,024.50 × 427,024.50
  4. Step 4: Simplify right side
    276,799x = 182,349,923,600.25
  5. Step 5: Solve for x
    x = 182,349,923,600.25/276,799
  6. Step 6: Final answer
    x = 658,781.01

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These problems maintain the same ratio (1.54) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.