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Finding the Third Proportional to 343,380.94 and 745,849.69

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Solution

The third proportional to 343,380.94 and 745,849.69 is: 1,620,042.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    343,380.94 : 745,849.69 = 745,849.69 : x
  2. Step 2: Convert to fraction form
    343,380.94/745,849.69 = 745,849.69/x
  3. Step 3: Cross multiply
    343,380.94x = 745,849.69 × 745,849.69
  4. Step 4: Simplify right side
    343,380.94x = 556,291,756,343.85
  5. Step 5: Solve for x
    x = 556,291,756,343.85/343,380.94
  6. Step 6: Final answer
    x = 1,620,042.63

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These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.