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Finding the Third Proportional to 276,565.50 and 378,494

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Solution

The third proportional to 276,565.50 and 378,494 is: 517,988.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    276,565.50 : 378,494 = 378,494 : x
  2. Step 2: Convert to fraction form
    276,565.50/378,494 = 378,494/x
  3. Step 3: Cross multiply
    276,565.50x = 378,494 × 378,494
  4. Step 4: Simplify right side
    276,565.50x = 143,257,708,036
  5. Step 5: Solve for x
    x = 143,257,708,036/276,565.50
  6. Step 6: Final answer
    x = 517,988.35

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These problems maintain the same ratio (1.37) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.