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Finding the Third Proportional to 323,301.38 and 702,563.63

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Solution

The third proportional to 323,301.38 and 702,563.63 is: 1,526,735.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    323,301.38 : 702,563.63 = 702,563.63 : x
  2. Step 2: Convert to fraction form
    323,301.38/702,563.63 = 702,563.63/x
  3. Step 3: Cross multiply
    323,301.38x = 702,563.63 × 702,563.63
  4. Step 4: Simplify right side
    323,301.38x = 493,595,647,173.14
  5. Step 5: Solve for x
    x = 493,595,647,173.14/323,301.38
  6. Step 6: Final answer
    x = 1,526,735.38

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Why These Related Problems?

These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.