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Finding the Third Proportional to 351,082 and 520,062

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Solution

The third proportional to 351,082 and 520,062 is: 770,374.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    351,082 : 520,062 = 520,062 : x
  2. Step 2: Convert to fraction form
    351,082/520,062 = 520,062/x
  3. Step 3: Cross multiply
    351,082x = 520,062 × 520,062
  4. Step 4: Simplify right side
    351,082x = 270,464,483,844
  5. Step 5: Solve for x
    x = 270,464,483,844/351,082
  6. Step 6: Final answer
    x = 770,374.11

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Why These Related Problems?

These problems maintain the same ratio (1.48) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.