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Finding the Third Proportional to 362,910 and 544,728

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Solution

The third proportional to 362,910 and 544,728 is: 817,636.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    362,910 : 544,728 = 544,728 : x
  2. Step 2: Convert to fraction form
    362,910/544,728 = 544,728/x
  3. Step 3: Cross multiply
    362,910x = 544,728 × 544,728
  4. Step 4: Simplify right side
    362,910x = 296,728,593,984
  5. Step 5: Solve for x
    x = 296,728,593,984/362,910
  6. Step 6: Final answer
    x = 817,636.86

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.