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Finding the Third Proportional to 343,622 and 516,082

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Solution

The third proportional to 343,622 and 516,082 is: 775,097.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    343,622 : 516,082 = 516,082 : x
  2. Step 2: Convert to fraction form
    343,622/516,082 = 516,082/x
  3. Step 3: Cross multiply
    343,622x = 516,082 × 516,082
  4. Step 4: Simplify right side
    343,622x = 266,340,630,724
  5. Step 5: Solve for x
    x = 266,340,630,724/343,622
  6. Step 6: Final answer
    x = 775,097.73

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.