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Finding the Third Proportional to 320,372.50 and 704,694.25

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Solution

The third proportional to 320,372.50 and 704,694.25 is: 1,550,051.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    320,372.50 : 704,694.25 = 704,694.25 : x
  2. Step 2: Convert to fraction form
    320,372.50/704,694.25 = 704,694.25/x
  3. Step 3: Cross multiply
    320,372.50x = 704,694.25 × 704,694.25
  4. Step 4: Simplify right side
    320,372.50x = 496,593,985,983.06
  5. Step 5: Solve for x
    x = 496,593,985,983.06/320,372.50
  6. Step 6: Final answer
    x = 1,550,051.85

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Why These Related Problems?

These problems maintain the same ratio (2.20) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.