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Finding the Third Proportional to 327,460.50 and 704,720.25

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Solution

The third proportional to 327,460.50 and 704,720.25 is: 1,516,612.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    327,460.50 : 704,720.25 = 704,720.25 : x
  2. Step 2: Convert to fraction form
    327,460.50/704,720.25 = 704,720.25/x
  3. Step 3: Cross multiply
    327,460.50x = 704,720.25 × 704,720.25
  4. Step 4: Simplify right side
    327,460.50x = 496,630,630,760.06
  5. Step 5: Solve for x
    x = 496,630,630,760.06/327,460.50
  6. Step 6: Final answer
    x = 1,516,612.33

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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.