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Finding the Third Proportional to 362,082 and 548,955

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Solution

The third proportional to 362,082 and 548,955 is: 832,274.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    362,082 : 548,955 = 548,955 : x
  2. Step 2: Convert to fraction form
    362,082/548,955 = 548,955/x
  3. Step 3: Cross multiply
    362,082x = 548,955 × 548,955
  4. Step 4: Simplify right side
    362,082x = 301,351,592,025
  5. Step 5: Solve for x
    x = 301,351,592,025/362,082
  6. Step 6: Final answer
    x = 832,274.44

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Why These Related Problems?

These problems maintain the same ratio (1.52) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.