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Finding the Third Proportional to 366,504.75 and 591,401.25

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Solution

The third proportional to 366,504.75 and 591,401.25 is: 954,299.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    366,504.75 : 591,401.25 = 591,401.25 : x
  2. Step 2: Convert to fraction form
    366,504.75/591,401.25 = 591,401.25/x
  3. Step 3: Cross multiply
    366,504.75x = 591,401.25 × 591,401.25
  4. Step 4: Simplify right side
    366,504.75x = 349,755,438,501.56
  5. Step 5: Solve for x
    x = 349,755,438,501.56/366,504.75
  6. Step 6: Final answer
    x = 954,299.88

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Why These Related Problems?

These problems maintain the same ratio (1.61) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.