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Finding the Third Proportional to 325,873 and 492,090

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Solution

The third proportional to 325,873 and 492,090 is: 743,088.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    325,873 : 492,090 = 492,090 : x
  2. Step 2: Convert to fraction form
    325,873/492,090 = 492,090/x
  3. Step 3: Cross multiply
    325,873x = 492,090 × 492,090
  4. Step 4: Simplify right side
    325,873x = 242,152,568,100
  5. Step 5: Solve for x
    x = 242,152,568,100/325,873
  6. Step 6: Final answer
    x = 743,088.77

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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.