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Finding the Third Proportional to 328,082 and 715,456

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Solution

The third proportional to 328,082 and 715,456 is: 1,560,211.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    328,082 : 715,456 = 715,456 : x
  2. Step 2: Convert to fraction form
    328,082/715,456 = 715,456/x
  3. Step 3: Cross multiply
    328,082x = 715,456 × 715,456
  4. Step 4: Simplify right side
    328,082x = 511,877,287,936
  5. Step 5: Solve for x
    x = 511,877,287,936/328,082
  6. Step 6: Final answer
    x = 1,560,211.43

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