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Finding the Third Proportional to 243,992 and 519,088

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Solution

The third proportional to 243,992 and 519,088 is: 1,104,349.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    243,992 : 519,088 = 519,088 : x
  2. Step 2: Convert to fraction form
    243,992/519,088 = 519,088/x
  3. Step 3: Cross multiply
    243,992x = 519,088 × 519,088
  4. Step 4: Simplify right side
    243,992x = 269,452,351,744
  5. Step 5: Solve for x
    x = 269,452,351,744/243,992
  6. Step 6: Final answer
    x = 1,104,349.13

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Why These Related Problems?

These problems maintain the same ratio (2.13) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.