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Finding the Third Proportional to 323,538 and 702,962

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Solution

The third proportional to 323,538 and 702,962 is: 1,527,349.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    323,538 : 702,962 = 702,962 : x
  2. Step 2: Convert to fraction form
    323,538/702,962 = 702,962/x
  3. Step 3: Cross multiply
    323,538x = 702,962 × 702,962
  4. Step 4: Simplify right side
    323,538x = 494,155,573,444
  5. Step 5: Solve for x
    x = 494,155,573,444/323,538
  6. Step 6: Final answer
    x = 1,527,349.41

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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.