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Finding the Third Proportional to 395,201.53 and 862,004.53

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Solution

The third proportional to 395,201.53 and 862,004.53 is: 1,880,184.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    395,201.53 : 862,004.53 = 862,004.53 : x
  2. Step 2: Convert to fraction form
    395,201.53/862,004.53 = 862,004.53/x
  3. Step 3: Cross multiply
    395,201.53x = 862,004.53 × 862,004.53
  4. Step 4: Simplify right side
    395,201.53x = 743,051,811,895.53
  5. Step 5: Solve for x
    x = 743,051,811,895.53/395,201.53
  6. Step 6: Final answer
    x = 1,880,184.55

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.