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Finding the Third Proportional to 344,212.50 and 545,965.50

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Solution

The third proportional to 344,212.50 and 545,965.50 is: 865,971.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    344,212.50 : 545,965.50 = 545,965.50 : x
  2. Step 2: Convert to fraction form
    344,212.50/545,965.50 = 545,965.50/x
  3. Step 3: Cross multiply
    344,212.50x = 545,965.50 × 545,965.50
  4. Step 4: Simplify right side
    344,212.50x = 298,078,327,190.25
  5. Step 5: Solve for x
    x = 298,078,327,190.25/344,212.50
  6. Step 6: Final answer
    x = 865,971.83

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Why These Related Problems?

These problems maintain the same ratio (1.59) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.