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Finding the Third Proportional to 323,314.25 and 762,142

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Solution

The third proportional to 323,314.25 and 762,142 is: 1,796,581.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    323,314.25 : 762,142 = 762,142 : x
  2. Step 2: Convert to fraction form
    323,314.25/762,142 = 762,142/x
  3. Step 3: Cross multiply
    323,314.25x = 762,142 × 762,142
  4. Step 4: Simplify right side
    323,314.25x = 580,860,428,164
  5. Step 5: Solve for x
    x = 580,860,428,164/323,314.25
  6. Step 6: Final answer
    x = 1,796,581.59

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Why These Related Problems?

These problems maintain the same ratio (2.36) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.