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Finding the Third Proportional to 231,220.79 and 504,460.17

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Solution

The third proportional to 231,220.79 and 504,460.17 is: 1,100,593.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    231,220.79 : 504,460.17 = 504,460.17 : x
  2. Step 2: Convert to fraction form
    231,220.79/504,460.17 = 504,460.17/x
  3. Step 3: Cross multiply
    231,220.79x = 504,460.17 × 504,460.17
  4. Step 4: Simplify right side
    231,220.79x = 254,480,062,052.34
  5. Step 5: Solve for x
    x = 254,480,062,052.34/231,220.79
  6. Step 6: Final answer
    x = 1,100,593.35

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.