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Finding the Third Proportional to 323,729.50 and 507,837

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Solution

The third proportional to 323,729.50 and 507,837 is: 796,647.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    323,729.50 : 507,837 = 507,837 : x
  2. Step 2: Convert to fraction form
    323,729.50/507,837 = 507,837/x
  3. Step 3: Cross multiply
    323,729.50x = 507,837 × 507,837
  4. Step 4: Simplify right side
    323,729.50x = 257,898,418,569
  5. Step 5: Solve for x
    x = 257,898,418,569/323,729.50
  6. Step 6: Final answer
    x = 796,647.88

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Why These Related Problems?

These problems maintain the same ratio (1.57) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.