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Finding the Third Proportional to 419,593.50 and 632,873.25

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Solution

The third proportional to 419,593.50 and 632,873.25 is: 954,563.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    419,593.50 : 632,873.25 = 632,873.25 : x
  2. Step 2: Convert to fraction form
    419,593.50/632,873.25 = 632,873.25/x
  3. Step 3: Cross multiply
    419,593.50x = 632,873.25 × 632,873.25
  4. Step 4: Simplify right side
    419,593.50x = 400,528,550,565.56
  5. Step 5: Solve for x
    x = 400,528,550,565.56/419,593.50
  6. Step 6: Final answer
    x = 954,563.29

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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.