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Finding the Third Proportional to 283,110 and 613,452

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Solution

The third proportional to 283,110 and 613,452 is: 1,329,247.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    283,110 : 613,452 = 613,452 : x
  2. Step 2: Convert to fraction form
    283,110/613,452 = 613,452/x
  3. Step 3: Cross multiply
    283,110x = 613,452 × 613,452
  4. Step 4: Simplify right side
    283,110x = 376,323,356,304
  5. Step 5: Solve for x
    x = 376,323,356,304/283,110
  6. Step 6: Final answer
    x = 1,329,247.84

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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.