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Finding the Third Proportional to 394,692 and 601,862

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Solution

The third proportional to 394,692 and 601,862 is: 917,773.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    394,692 : 601,862 = 601,862 : x
  2. Step 2: Convert to fraction form
    394,692/601,862 = 601,862/x
  3. Step 3: Cross multiply
    394,692x = 601,862 × 601,862
  4. Step 4: Simplify right side
    394,692x = 362,237,867,044
  5. Step 5: Solve for x
    x = 362,237,867,044/394,692
  6. Step 6: Final answer
    x = 917,773.52

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Why These Related Problems?

These problems maintain the same ratio (1.52) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.