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Finding the Third Proportional to 243,980 and 519,064

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Solution

The third proportional to 243,980 and 519,064 is: 1,104,301.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    243,980 : 519,064 = 519,064 : x
  2. Step 2: Convert to fraction form
    243,980/519,064 = 519,064/x
  3. Step 3: Cross multiply
    243,980x = 519,064 × 519,064
  4. Step 4: Simplify right side
    243,980x = 269,427,436,096
  5. Step 5: Solve for x
    x = 269,427,436,096/243,980
  6. Step 6: Final answer
    x = 1,104,301.32

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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.