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Finding the Third Proportional to 312,296 and 671,964

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Solution

The third proportional to 312,296 and 671,964 is: 1,445,857.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    312,296 : 671,964 = 671,964 : x
  2. Step 2: Convert to fraction form
    312,296/671,964 = 671,964/x
  3. Step 3: Cross multiply
    312,296x = 671,964 × 671,964
  4. Step 4: Simplify right side
    312,296x = 451,535,617,296
  5. Step 5: Solve for x
    x = 451,535,617,296/312,296
  6. Step 6: Final answer
    x = 1,445,857.83

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Why These Related Problems?

These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.