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Finding the Third Proportional to 207,582.75 and 439,769.25

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Solution

The third proportional to 207,582.75 and 439,769.25 is: 931,662.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    207,582.75 : 439,769.25 = 439,769.25 : x
  2. Step 2: Convert to fraction form
    207,582.75/439,769.25 = 439,769.25/x
  3. Step 3: Cross multiply
    207,582.75x = 439,769.25 × 439,769.25
  4. Step 4: Simplify right side
    207,582.75x = 193,396,993,245.56
  5. Step 5: Solve for x
    x = 193,396,993,245.56/207,582.75
  6. Step 6: Final answer
    x = 931,662.16

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Why These Related Problems?

These problems maintain the same ratio (2.12) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.