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Finding the Third Proportional to 293,604.75 and 431,750.25

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Solution

The third proportional to 293,604.75 and 431,750.25 is: 634,895.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    293,604.75 : 431,750.25 = 431,750.25 : x
  2. Step 2: Convert to fraction form
    293,604.75/431,750.25 = 431,750.25/x
  3. Step 3: Cross multiply
    293,604.75x = 431,750.25 × 431,750.25
  4. Step 4: Simplify right side
    293,604.75x = 186,408,278,375.06
  5. Step 5: Solve for x
    x = 186,408,278,375.06/293,604.75
  6. Step 6: Final answer
    x = 634,895.31

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Why These Related Problems?

These problems maintain the same ratio (1.47) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.