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Finding the Third Proportional to 354,040.75 and 533,999.75

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Solution

The third proportional to 354,040.75 and 533,999.75 is: 805,431.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    354,040.75 : 533,999.75 = 533,999.75 : x
  2. Step 2: Convert to fraction form
    354,040.75/533,999.75 = 533,999.75/x
  3. Step 3: Cross multiply
    354,040.75x = 533,999.75 × 533,999.75
  4. Step 4: Simplify right side
    354,040.75x = 285,155,733,000.06
  5. Step 5: Solve for x
    x = 285,155,733,000.06/354,040.75
  6. Step 6: Final answer
    x = 805,431.95

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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.