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Finding the Third Proportional to 624,204 and 959,652

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Solution

The third proportional to 624,204 and 959,652 is: 1,475,370.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    624,204 : 959,652 = 959,652 : x
  2. Step 2: Convert to fraction form
    624,204/959,652 = 959,652/x
  3. Step 3: Cross multiply
    624,204x = 959,652 × 959,652
  4. Step 4: Simplify right side
    624,204x = 920,931,961,104
  5. Step 5: Solve for x
    x = 920,931,961,104/624,204
  6. Step 6: Final answer
    x = 1,475,370.17

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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.