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Finding the Third Proportional to 325,296 and 492,480

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Solution

The third proportional to 325,296 and 492,480 is: 745,587.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    325,296 : 492,480 = 492,480 : x
  2. Step 2: Convert to fraction form
    325,296/492,480 = 492,480/x
  3. Step 3: Cross multiply
    325,296x = 492,480 × 492,480
  4. Step 4: Simplify right side
    325,296x = 242,536,550,400
  5. Step 5: Solve for x
    x = 242,536,550,400/325,296
  6. Step 6: Final answer
    x = 745,587.25

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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.