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Finding the Third Proportional to 349,737.75 and 443,606.63

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Solution

The third proportional to 349,737.75 and 443,606.63 is: 562,669.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    349,737.75 : 443,606.63 = 443,606.63 : x
  2. Step 2: Convert to fraction form
    349,737.75/443,606.63 = 443,606.63/x
  3. Step 3: Cross multiply
    349,737.75x = 443,606.63 × 443,606.63
  4. Step 4: Simplify right side
    349,737.75x = 196,786,837,743.89
  5. Step 5: Solve for x
    x = 196,786,837,743.89/349,737.75
  6. Step 6: Final answer
    x = 562,669.71

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These problems maintain the same ratio (1.27) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.