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Finding the Third Proportional to 362,128.50 and 547,848

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Solution

The third proportional to 362,128.50 and 547,848 is: 828,814.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    362,128.50 : 547,848 = 547,848 : x
  2. Step 2: Convert to fraction form
    362,128.50/547,848 = 547,848/x
  3. Step 3: Cross multiply
    362,128.50x = 547,848 × 547,848
  4. Step 4: Simplify right side
    362,128.50x = 300,137,431,104
  5. Step 5: Solve for x
    x = 300,137,431,104/362,128.50
  6. Step 6: Final answer
    x = 828,814.72

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.