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Finding the Third Proportional to 368,500 and 552,642

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Solution

The third proportional to 368,500 and 552,642 is: 828,801.03

Step by Step Solution

  1. Step 1: Write the proportion equation
    368,500 : 552,642 = 552,642 : x
  2. Step 2: Convert to fraction form
    368,500/552,642 = 552,642/x
  3. Step 3: Cross multiply
    368,500x = 552,642 × 552,642
  4. Step 4: Simplify right side
    368,500x = 305,413,180,164
  5. Step 5: Solve for x
    x = 305,413,180,164/368,500
  6. Step 6: Final answer
    x = 828,801.03

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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.