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Finding the Third Proportional to 590,809.50 and 1,203,270.75

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Solution

The third proportional to 590,809.50 and 1,203,270.75 is: 2,450,638.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    590,809.50 : 1,203,270.75 = 1,203,270.75 : x
  2. Step 2: Convert to fraction form
    590,809.50/1,203,270.75 = 1,203,270.75/x
  3. Step 3: Cross multiply
    590,809.50x = 1,203,270.75 × 1,203,270.75
  4. Step 4: Simplify right side
    590,809.50x = 1,447,860,497,805.56
  5. Step 5: Solve for x
    x = 1,447,860,497,805.56/590,809.50
  6. Step 6: Final answer
    x = 2,450,638.48

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Why These Related Problems?

These problems maintain the same ratio (2.04) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.