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Finding the Third Proportional to 342,835.03 and 522,954.98

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Solution

The third proportional to 342,835.03 and 522,954.98 is: 797,707.03

Step by Step Solution

  1. Step 1: Write the proportion equation
    342,835.03 : 522,954.98 = 522,954.98 : x
  2. Step 2: Convert to fraction form
    342,835.03/522,954.98 = 522,954.98/x
  3. Step 3: Cross multiply
    342,835.03x = 522,954.98 × 522,954.98
  4. Step 4: Simplify right side
    342,835.03x = 273,481,915,682.66
  5. Step 5: Solve for x
    x = 273,481,915,682.66/342,835.03
  6. Step 6: Final answer
    x = 797,707.03

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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.