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Finding the Third Proportional to 368,800 and 591,504

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Solution

The third proportional to 368,800 and 591,504 is: 948,690.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    368,800 : 591,504 = 591,504 : x
  2. Step 2: Convert to fraction form
    368,800/591,504 = 591,504/x
  3. Step 3: Cross multiply
    368,800x = 591,504 × 591,504
  4. Step 4: Simplify right side
    368,800x = 349,876,982,016
  5. Step 5: Solve for x
    x = 349,876,982,016/368,800
  6. Step 6: Final answer
    x = 948,690.30

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Why These Related Problems?

These problems maintain the same ratio (1.60) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.