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Finding the Third Proportional to 268,862 and 412,693

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Solution

The third proportional to 268,862 and 412,693 is: 633,468.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    268,862 : 412,693 = 412,693 : x
  2. Step 2: Convert to fraction form
    268,862/412,693 = 412,693/x
  3. Step 3: Cross multiply
    268,862x = 412,693 × 412,693
  4. Step 4: Simplify right side
    268,862x = 170,315,512,249
  5. Step 5: Solve for x
    x = 170,315,512,249/268,862
  6. Step 6: Final answer
    x = 633,468.14

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Why These Related Problems?

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