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Finding the Third Proportional to 327,753 and 715,082

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Solution

The third proportional to 327,753 and 715,082 is: 1,560,145.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    327,753 : 715,082 = 715,082 : x
  2. Step 2: Convert to fraction form
    327,753/715,082 = 715,082/x
  3. Step 3: Cross multiply
    327,753x = 715,082 × 715,082
  4. Step 4: Simplify right side
    327,753x = 511,342,266,724
  5. Step 5: Solve for x
    x = 511,342,266,724/327,753
  6. Step 6: Final answer
    x = 1,560,145.19

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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.