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Finding the Third Proportional to 363,530 and 777,604

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Solution

The third proportional to 363,530 and 777,604 is: 1,663,323.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    363,530 : 777,604 = 777,604 : x
  2. Step 2: Convert to fraction form
    363,530/777,604 = 777,604/x
  3. Step 3: Cross multiply
    363,530x = 777,604 × 777,604
  4. Step 4: Simplify right side
    363,530x = 604,667,980,816
  5. Step 5: Solve for x
    x = 604,667,980,816/363,530
  6. Step 6: Final answer
    x = 1,663,323.47

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Why These Related Problems?

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