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Finding the Third Proportional to 268,862 and 412,692

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Solution

The third proportional to 268,862 and 412,692 is: 633,465.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    268,862 : 412,692 = 412,692 : x
  2. Step 2: Convert to fraction form
    268,862/412,692 = 412,692/x
  3. Step 3: Cross multiply
    268,862x = 412,692 × 412,692
  4. Step 4: Simplify right side
    268,862x = 170,314,686,864
  5. Step 5: Solve for x
    x = 170,314,686,864/268,862
  6. Step 6: Final answer
    x = 633,465.07

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These problems maintain the same ratio (1.53) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.