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Finding the Third Proportional to 312,206 and 671,797

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Solution

The third proportional to 312,206 and 671,797 is: 1,445,555.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    312,206 : 671,797 = 671,797 : x
  2. Step 2: Convert to fraction form
    312,206/671,797 = 671,797/x
  3. Step 3: Cross multiply
    312,206x = 671,797 × 671,797
  4. Step 4: Simplify right side
    312,206x = 451,311,209,209
  5. Step 5: Solve for x
    x = 451,311,209,209/312,206
  6. Step 6: Final answer
    x = 1,445,555.85

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