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Finding the Third Proportional to 253,536 and 389,735

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Solution

The third proportional to 253,536 and 389,735 is: 599,099.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    253,536 : 389,735 = 389,735 : x
  2. Step 2: Convert to fraction form
    253,536/389,735 = 389,735/x
  3. Step 3: Cross multiply
    253,536x = 389,735 × 389,735
  4. Step 4: Simplify right side
    253,536x = 151,893,370,225
  5. Step 5: Solve for x
    x = 151,893,370,225/253,536
  6. Step 6: Final answer
    x = 599,099.81

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Why These Related Problems?

These problems maintain the same ratio (1.54) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.