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Finding the Third Proportional to 312,384.09 and 673,353

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Solution

The third proportional to 312,384.09 and 673,353 is: 1,451,431.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    312,384.09 : 673,353 = 673,353 : x
  2. Step 2: Convert to fraction form
    312,384.09/673,353 = 673,353/x
  3. Step 3: Cross multiply
    312,384.09x = 673,353 × 673,353
  4. Step 4: Simplify right side
    312,384.09x = 453,404,262,609
  5. Step 5: Solve for x
    x = 453,404,262,609/312,384.09
  6. Step 6: Final answer
    x = 1,451,431.98

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These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.