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Finding the Third Proportional to 293,936.25 and 429,561.75

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Solution

The third proportional to 293,936.25 and 429,561.75 is: 627,766.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    293,936.25 : 429,561.75 = 429,561.75 : x
  2. Step 2: Convert to fraction form
    293,936.25/429,561.75 = 429,561.75/x
  3. Step 3: Cross multiply
    293,936.25x = 429,561.75 × 429,561.75
  4. Step 4: Simplify right side
    293,936.25x = 184,523,297,063.06
  5. Step 5: Solve for x
    x = 184,523,297,063.06/293,936.25
  6. Step 6: Final answer
    x = 627,766.38

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Why These Related Problems?

These problems maintain the same ratio (1.46) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.