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Finding the Third Proportional to 362,097 and 547,805

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Solution

The third proportional to 362,097 and 547,805 is: 828,756.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    362,097 : 547,805 = 547,805 : x
  2. Step 2: Convert to fraction form
    362,097/547,805 = 547,805/x
  3. Step 3: Cross multiply
    362,097x = 547,805 × 547,805
  4. Step 4: Simplify right side
    362,097x = 300,090,318,025
  5. Step 5: Solve for x
    x = 300,090,318,025/362,097
  6. Step 6: Final answer
    x = 828,756.71

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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.