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Finding the Third Proportional to 327,321 and 712,962

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Solution

The third proportional to 327,321 and 712,962 is: 1,552,955.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    327,321 : 712,962 = 712,962 : x
  2. Step 2: Convert to fraction form
    327,321/712,962 = 712,962/x
  3. Step 3: Cross multiply
    327,321x = 712,962 × 712,962
  4. Step 4: Simplify right side
    327,321x = 508,314,813,444
  5. Step 5: Solve for x
    x = 508,314,813,444/327,321
  6. Step 6: Final answer
    x = 1,552,955.09

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.