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Finding the Third Proportional to 312,832.13 and 683,073

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Solution

The third proportional to 312,832.13 and 683,073 is: 1,491,498.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    312,832.13 : 683,073 = 683,073 : x
  2. Step 2: Convert to fraction form
    312,832.13/683,073 = 683,073/x
  3. Step 3: Cross multiply
    312,832.13x = 683,073 × 683,073
  4. Step 4: Simplify right side
    312,832.13x = 466,588,723,329
  5. Step 5: Solve for x
    x = 466,588,723,329/312,832.13
  6. Step 6: Final answer
    x = 1,491,498.75

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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.