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Finding the Third Proportional to 276,912 and 414,905.75

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Solution

The third proportional to 276,912 and 414,905.75 is: 621,666.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    276,912 : 414,905.75 = 414,905.75 : x
  2. Step 2: Convert to fraction form
    276,912/414,905.75 = 414,905.75/x
  3. Step 3: Cross multiply
    276,912x = 414,905.75 × 414,905.75
  4. Step 4: Simplify right side
    276,912x = 172,146,781,383.06
  5. Step 5: Solve for x
    x = 172,146,781,383.06/276,912
  6. Step 6: Final answer
    x = 621,666.02

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.