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Finding the Third Proportional to 362,505 and 777,498

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Solution

The third proportional to 362,505 and 777,498 is: 1,667,571.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    362,505 : 777,498 = 777,498 : x
  2. Step 2: Convert to fraction form
    362,505/777,498 = 777,498/x
  3. Step 3: Cross multiply
    362,505x = 777,498 × 777,498
  4. Step 4: Simplify right side
    362,505x = 604,503,140,004
  5. Step 5: Solve for x
    x = 604,503,140,004/362,505
  6. Step 6: Final answer
    x = 1,667,571.87

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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.