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Finding the Third Proportional to 387,936 and 599,040

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Solution

The third proportional to 387,936 and 599,040 is: 925,020.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    387,936 : 599,040 = 599,040 : x
  2. Step 2: Convert to fraction form
    387,936/599,040 = 599,040/x
  3. Step 3: Cross multiply
    387,936x = 599,040 × 599,040
  4. Step 4: Simplify right side
    387,936x = 358,848,921,600
  5. Step 5: Solve for x
    x = 358,848,921,600/387,936
  6. Step 6: Final answer
    x = 925,020.94

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