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Finding the Third Proportional to 326,512.50 and 504,544.50

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Solution

The third proportional to 326,512.50 and 504,544.50 is: 779,649.03

Step by Step Solution

  1. Step 1: Write the proportion equation
    326,512.50 : 504,544.50 = 504,544.50 : x
  2. Step 2: Convert to fraction form
    326,512.50/504,544.50 = 504,544.50/x
  3. Step 3: Cross multiply
    326,512.50x = 504,544.50 × 504,544.50
  4. Step 4: Simplify right side
    326,512.50x = 254,565,152,480.25
  5. Step 5: Solve for x
    x = 254,565,152,480.25/326,512.50
  6. Step 6: Final answer
    x = 779,649.03

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Why These Related Problems?

These problems maintain the same ratio (1.55) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.