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Finding the Third Proportional to 595,204.25 and 894,163.25

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Solution

The third proportional to 595,204.25 and 894,163.25 is: 1,343,283.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    595,204.25 : 894,163.25 = 894,163.25 : x
  2. Step 2: Convert to fraction form
    595,204.25/894,163.25 = 894,163.25/x
  3. Step 3: Cross multiply
    595,204.25x = 894,163.25 × 894,163.25
  4. Step 4: Simplify right side
    595,204.25x = 799,527,917,650.56
  5. Step 5: Solve for x
    x = 799,527,917,650.56/595,204.25
  6. Step 6: Final answer
    x = 1,343,283.28

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.