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Finding the Third Proportional to 343,606 and 522,700

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Solution

The third proportional to 343,606 and 522,700 is: 795,141.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    343,606 : 522,700 = 522,700 : x
  2. Step 2: Convert to fraction form
    343,606/522,700 = 522,700/x
  3. Step 3: Cross multiply
    343,606x = 522,700 × 522,700
  4. Step 4: Simplify right side
    343,606x = 273,215,290,000
  5. Step 5: Solve for x
    x = 273,215,290,000/343,606
  6. Step 6: Final answer
    x = 795,141.21

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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.