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Finding the Third Proportional to 326,259.75 and 722,505.75

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Solution

The third proportional to 326,259.75 and 722,505.75 is: 1,599,996.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    326,259.75 : 722,505.75 = 722,505.75 : x
  2. Step 2: Convert to fraction form
    326,259.75/722,505.75 = 722,505.75/x
  3. Step 3: Cross multiply
    326,259.75x = 722,505.75 × 722,505.75
  4. Step 4: Simplify right side
    326,259.75x = 522,014,558,783.06
  5. Step 5: Solve for x
    x = 522,014,558,783.06/326,259.75
  6. Step 6: Final answer
    x = 1,599,996.81

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Why These Related Problems?

These problems maintain the same ratio (2.21) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.