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Finding the Third Proportional to 233,431 and 512,249

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Solution

The third proportional to 233,431 and 512,249 is: 1,124,096.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    233,431 : 512,249 = 512,249 : x
  2. Step 2: Convert to fraction form
    233,431/512,249 = 512,249/x
  3. Step 3: Cross multiply
    233,431x = 512,249 × 512,249
  4. Step 4: Simplify right side
    233,431x = 262,399,038,001
  5. Step 5: Solve for x
    x = 262,399,038,001/233,431
  6. Step 6: Final answer
    x = 1,124,096.79

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Why These Related Problems?

These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.