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Finding the Third Proportional to 276,000.75 and 415,365.75

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Solution

The third proportional to 276,000.75 and 415,365.75 is: 625,102.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    276,000.75 : 415,365.75 = 415,365.75 : x
  2. Step 2: Convert to fraction form
    276,000.75/415,365.75 = 415,365.75/x
  3. Step 3: Cross multiply
    276,000.75x = 415,365.75 × 415,365.75
  4. Step 4: Simplify right side
    276,000.75x = 172,528,706,273.06
  5. Step 5: Solve for x
    x = 172,528,706,273.06/276,000.75
  6. Step 6: Final answer
    x = 625,102.31

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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.