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Finding the Third Proportional to 283,462 and 614,916

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Solution

The third proportional to 283,462 and 614,916 is: 1,333,941.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    283,462 : 614,916 = 614,916 : x
  2. Step 2: Convert to fraction form
    283,462/614,916 = 614,916/x
  3. Step 3: Cross multiply
    283,462x = 614,916 × 614,916
  4. Step 4: Simplify right side
    283,462x = 378,121,687,056
  5. Step 5: Solve for x
    x = 378,121,687,056/283,462
  6. Step 6: Final answer
    x = 1,333,941.36

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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.