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Finding the Third Proportional to 244,620 and 344,478.38

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Solution

The third proportional to 244,620 and 344,478.38 is: 485,100.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    244,620 : 344,478.38 = 344,478.38 : x
  2. Step 2: Convert to fraction form
    244,620/344,478.38 = 344,478.38/x
  3. Step 3: Cross multiply
    244,620x = 344,478.38 × 344,478.38
  4. Step 4: Simplify right side
    244,620x = 118,665,350,842.64
  5. Step 5: Solve for x
    x = 118,665,350,842.64/244,620
  6. Step 6: Final answer
    x = 485,100.77

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Why These Related Problems?

These problems maintain the same ratio (1.41) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.