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Finding the Third Proportional to 599,259.38 and 1,287,456.75

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Solution

The third proportional to 599,259.38 and 1,287,456.75 is: 2,765,989.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    599,259.38 : 1,287,456.75 = 1,287,456.75 : x
  2. Step 2: Convert to fraction form
    599,259.38/1,287,456.75 = 1,287,456.75/x
  3. Step 3: Cross multiply
    599,259.38x = 1,287,456.75 × 1,287,456.75
  4. Step 4: Simplify right side
    599,259.38x = 1,657,544,883,120.56
  5. Step 5: Solve for x
    x = 1,657,544,883,120.56/599,259.38
  6. Step 6: Final answer
    x = 2,765,989.07

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Why These Related Problems?

These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.