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Finding the Third Proportional to 323,196.75 and 702,361.13

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Solution

The third proportional to 323,196.75 and 702,361.13 is: 1,526,349.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    323,196.75 : 702,361.13 = 702,361.13 : x
  2. Step 2: Convert to fraction form
    323,196.75/702,361.13 = 702,361.13/x
  3. Step 3: Cross multiply
    323,196.75x = 702,361.13 × 702,361.13
  4. Step 4: Simplify right side
    323,196.75x = 493,311,149,911.27
  5. Step 5: Solve for x
    x = 493,311,149,911.27/323,196.75
  6. Step 6: Final answer
    x = 1,526,349.35

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