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Finding the Third Proportional to 327,234 and 713,598

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Solution

The third proportional to 327,234 and 713,598 is: 1,556,140.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    327,234 : 713,598 = 713,598 : x
  2. Step 2: Convert to fraction form
    327,234/713,598 = 713,598/x
  3. Step 3: Cross multiply
    327,234x = 713,598 × 713,598
  4. Step 4: Simplify right side
    327,234x = 509,222,105,604
  5. Step 5: Solve for x
    x = 509,222,105,604/327,234
  6. Step 6: Final answer
    x = 1,556,140.58

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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.