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Finding the Third Proportional to 550,273.50 and 830,958.75

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Solution

The third proportional to 550,273.50 and 830,958.75 is: 1,254,816.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    550,273.50 : 830,958.75 = 830,958.75 : x
  2. Step 2: Convert to fraction form
    550,273.50/830,958.75 = 830,958.75/x
  3. Step 3: Cross multiply
    550,273.50x = 830,958.75 × 830,958.75
  4. Step 4: Simplify right side
    550,273.50x = 690,492,444,201.56
  5. Step 5: Solve for x
    x = 690,492,444,201.56/550,273.50
  6. Step 6: Final answer
    x = 1,254,816.82

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.