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Finding the Third Proportional to 362,637 and 775,170

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Solution

The third proportional to 362,637 and 775,170 is: 1,656,997.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    362,637 : 775,170 = 775,170 : x
  2. Step 2: Convert to fraction form
    362,637/775,170 = 775,170/x
  3. Step 3: Cross multiply
    362,637x = 775,170 × 775,170
  4. Step 4: Simplify right side
    362,637x = 600,888,528,900
  5. Step 5: Solve for x
    x = 600,888,528,900/362,637
  6. Step 6: Final answer
    x = 1,656,997.30

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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.