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Finding the Third Proportional to 283,317 and 614,096

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Solution

The third proportional to 283,317 and 614,096 is: 1,331,066.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    283,317 : 614,096 = 614,096 : x
  2. Step 2: Convert to fraction form
    283,317/614,096 = 614,096/x
  3. Step 3: Cross multiply
    283,317x = 614,096 × 614,096
  4. Step 4: Simplify right side
    283,317x = 377,113,897,216
  5. Step 5: Solve for x
    x = 377,113,897,216/283,317
  6. Step 6: Final answer
    x = 1,331,066.96

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Why These Related Problems?

These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.