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Finding the Third Proportional to 325,875 and 492,093

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Solution

The third proportional to 325,875 and 492,093 is: 743,093.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    325,875 : 492,093 = 492,093 : x
  2. Step 2: Convert to fraction form
    325,875/492,093 = 492,093/x
  3. Step 3: Cross multiply
    325,875x = 492,093 × 492,093
  4. Step 4: Simplify right side
    325,875x = 242,155,520,649
  5. Step 5: Solve for x
    x = 242,155,520,649/325,875
  6. Step 6: Final answer
    x = 743,093.27

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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.