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Finding the Third Proportional to 362,556 and 777,573

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Solution

The third proportional to 362,556 and 777,573 is: 1,667,658.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    362,556 : 777,573 = 777,573 : x
  2. Step 2: Convert to fraction form
    362,556/777,573 = 777,573/x
  3. Step 3: Cross multiply
    362,556x = 777,573 × 777,573
  4. Step 4: Simplify right side
    362,556x = 604,619,770,329
  5. Step 5: Solve for x
    x = 604,619,770,329/362,556
  6. Step 6: Final answer
    x = 1,667,658.98

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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.