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Finding the Third Proportional to 623,054.25 and 933,540.75

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Solution

The third proportional to 623,054.25 and 933,540.75 is: 1,398,751.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    623,054.25 : 933,540.75 = 933,540.75 : x
  2. Step 2: Convert to fraction form
    623,054.25/933,540.75 = 933,540.75/x
  3. Step 3: Cross multiply
    623,054.25x = 933,540.75 × 933,540.75
  4. Step 4: Simplify right side
    623,054.25x = 871,498,331,910.56
  5. Step 5: Solve for x
    x = 871,498,331,910.56/623,054.25
  6. Step 6: Final answer
    x = 1,398,751.93

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Why These Related Problems?

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