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Finding the Third Proportional to 362,573 and 777,634

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Solution

The third proportional to 362,573 and 777,634 is: 1,667,842.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    362,573 : 777,634 = 777,634 : x
  2. Step 2: Convert to fraction form
    362,573/777,634 = 777,634/x
  3. Step 3: Cross multiply
    362,573x = 777,634 × 777,634
  4. Step 4: Simplify right side
    362,573x = 604,714,637,956
  5. Step 5: Solve for x
    x = 604,714,637,956/362,573
  6. Step 6: Final answer
    x = 1,667,842.44

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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.