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Finding the Third Proportional to 327,294 and 713,718

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Solution

The third proportional to 327,294 and 713,718 is: 1,556,378.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    327,294 : 713,718 = 713,718 : x
  2. Step 2: Convert to fraction form
    327,294/713,718 = 713,718/x
  3. Step 3: Cross multiply
    327,294x = 713,718 × 713,718
  4. Step 4: Simplify right side
    327,294x = 509,393,383,524
  5. Step 5: Solve for x
    x = 509,393,383,524/327,294
  6. Step 6: Final answer
    x = 1,556,378.62

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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.