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Finding the Third Proportional to 307,486.13 and 674,193.38

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Solution

The third proportional to 307,486.13 and 674,193.38 is: 1,478,234.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    307,486.13 : 674,193.38 = 674,193.38 : x
  2. Step 2: Convert to fraction form
    307,486.13/674,193.38 = 674,193.38/x
  3. Step 3: Cross multiply
    307,486.13x = 674,193.38 × 674,193.38
  4. Step 4: Simplify right side
    307,486.13x = 454,536,706,893.89
  5. Step 5: Solve for x
    x = 454,536,706,893.89/307,486.13
  6. Step 6: Final answer
    x = 1,478,234.85

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These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.