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Finding the Third Proportional to 429,240.75 and 582,965.50

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Solution

The third proportional to 429,240.75 and 582,965.50 is: 791,743.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    429,240.75 : 582,965.50 = 582,965.50 : x
  2. Step 2: Convert to fraction form
    429,240.75/582,965.50 = 582,965.50/x
  3. Step 3: Cross multiply
    429,240.75x = 582,965.50 × 582,965.50
  4. Step 4: Simplify right side
    429,240.75x = 339,848,774,190.25
  5. Step 5: Solve for x
    x = 339,848,774,190.25/429,240.75
  6. Step 6: Final answer
    x = 791,743.97

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Why These Related Problems?

These problems maintain the same ratio (1.36) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.