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Finding the Third Proportional to 362,576 and 777,611

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Solution

The third proportional to 362,576 and 777,611 is: 1,667,729.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    362,576 : 777,611 = 777,611 : x
  2. Step 2: Convert to fraction form
    362,576/777,611 = 777,611/x
  3. Step 3: Cross multiply
    362,576x = 777,611 × 777,611
  4. Step 4: Simplify right side
    362,576x = 604,678,867,321
  5. Step 5: Solve for x
    x = 604,678,867,321/362,576
  6. Step 6: Final answer
    x = 1,667,729.99

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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.