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Finding the Third Proportional to 362,672 and 544,324

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Solution

The third proportional to 362,672 and 544,324 is: 816,960.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    362,672 : 544,324 = 544,324 : x
  2. Step 2: Convert to fraction form
    362,672/544,324 = 544,324/x
  3. Step 3: Cross multiply
    362,672x = 544,324 × 544,324
  4. Step 4: Simplify right side
    362,672x = 296,288,616,976
  5. Step 5: Solve for x
    x = 296,288,616,976/362,672
  6. Step 6: Final answer
    x = 816,960.28

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