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Finding the Third Proportional to 343,589 and 524,267.50

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Solution

The third proportional to 343,589 and 524,267.50 is: 799,956.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    343,589 : 524,267.50 = 524,267.50 : x
  2. Step 2: Convert to fraction form
    343,589/524,267.50 = 524,267.50/x
  3. Step 3: Cross multiply
    343,589x = 524,267.50 × 524,267.50
  4. Step 4: Simplify right side
    343,589x = 274,856,411,556.25
  5. Step 5: Solve for x
    x = 274,856,411,556.25/343,589
  6. Step 6: Final answer
    x = 799,956.96

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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.