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Finding the Third Proportional to 345,170.11 and 738,313.73

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Solution

The third proportional to 345,170.11 and 738,313.73 is: 1,579,242.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    345,170.11 : 738,313.73 = 738,313.73 : x
  2. Step 2: Convert to fraction form
    345,170.11/738,313.73 = 738,313.73/x
  3. Step 3: Cross multiply
    345,170.11x = 738,313.73 × 738,313.73
  4. Step 4: Simplify right side
    345,170.11x = 545,107,170,366.76
  5. Step 5: Solve for x
    x = 545,107,170,366.76/345,170.11
  6. Step 6: Final answer
    x = 1,579,242.11

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These problems maintain the same ratio (2.14) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.