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Finding the Third Proportional to 312,837.75 and 683,082

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Solution

The third proportional to 312,837.75 and 683,082 is: 1,491,511.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    312,837.75 : 683,082 = 683,082 : x
  2. Step 2: Convert to fraction form
    312,837.75/683,082 = 683,082/x
  3. Step 3: Cross multiply
    312,837.75x = 683,082 × 683,082
  4. Step 4: Simplify right side
    312,837.75x = 466,601,018,724
  5. Step 5: Solve for x
    x = 466,601,018,724/312,837.75
  6. Step 6: Final answer
    x = 1,491,511.23

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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.