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Finding the Third Proportional to 343,589.50 and 524,269

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Solution

The third proportional to 343,589.50 and 524,269 is: 799,960.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    343,589.50 : 524,269 = 524,269 : x
  2. Step 2: Convert to fraction form
    343,589.50/524,269 = 524,269/x
  3. Step 3: Cross multiply
    343,589.50x = 524,269 × 524,269
  4. Step 4: Simplify right side
    343,589.50x = 274,857,984,361
  5. Step 5: Solve for x
    x = 274,857,984,361/343,589.50
  6. Step 6: Final answer
    x = 799,960.37

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Why These Related Problems?

These problems maintain the same ratio (1.53) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.