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Finding the Third Proportional to 401,674.50 and 550,786.50

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Solution

The third proportional to 401,674.50 and 550,786.50 is: 755,252.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    401,674.50 : 550,786.50 = 550,786.50 : x
  2. Step 2: Convert to fraction form
    401,674.50/550,786.50 = 550,786.50/x
  3. Step 3: Cross multiply
    401,674.50x = 550,786.50 × 550,786.50
  4. Step 4: Simplify right side
    401,674.50x = 303,365,768,582.25
  5. Step 5: Solve for x
    x = 303,365,768,582.25/401,674.50
  6. Step 6: Final answer
    x = 755,252.74

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Why These Related Problems?

These problems maintain the same ratio (1.37) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.