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Finding the Third Proportional to 326,216 and 504,168

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Solution

The third proportional to 326,216 and 504,168 is: 779,193.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    326,216 : 504,168 = 504,168 : x
  2. Step 2: Convert to fraction form
    326,216/504,168 = 504,168/x
  3. Step 3: Cross multiply
    326,216x = 504,168 × 504,168
  4. Step 4: Simplify right side
    326,216x = 254,185,372,224
  5. Step 5: Solve for x
    x = 254,185,372,224/326,216
  6. Step 6: Final answer
    x = 779,193.46

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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.