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Finding the Third Proportional to 429,244.50 and 582,972

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Solution

The third proportional to 429,244.50 and 582,972 is: 791,754.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    429,244.50 : 582,972 = 582,972 : x
  2. Step 2: Convert to fraction form
    429,244.50/582,972 = 582,972/x
  3. Step 3: Cross multiply
    429,244.50x = 582,972 × 582,972
  4. Step 4: Simplify right side
    429,244.50x = 339,856,352,784
  5. Step 5: Solve for x
    x = 339,856,352,784/429,244.50
  6. Step 6: Final answer
    x = 791,754.71

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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.