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Finding the Third Proportional to 362,680 and 544,336

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Solution

The third proportional to 362,680 and 544,336 is: 816,978.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    362,680 : 544,336 = 544,336 : x
  2. Step 2: Convert to fraction form
    362,680/544,336 = 544,336/x
  3. Step 3: Cross multiply
    362,680x = 544,336 × 544,336
  4. Step 4: Simplify right side
    362,680x = 296,301,680,896
  5. Step 5: Solve for x
    x = 296,301,680,896/362,680
  6. Step 6: Final answer
    x = 816,978.28

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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.