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Finding the Third Proportional to 283,988 and 605,864

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Solution

The third proportional to 283,988 and 605,864 is: 1,292,558.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    283,988 : 605,864 = 605,864 : x
  2. Step 2: Convert to fraction form
    283,988/605,864 = 605,864/x
  3. Step 3: Cross multiply
    283,988x = 605,864 × 605,864
  4. Step 4: Simplify right side
    283,988x = 367,071,186,496
  5. Step 5: Solve for x
    x = 367,071,186,496/283,988
  6. Step 6: Final answer
    x = 1,292,558.79

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Why These Related Problems?

These problems maintain the same ratio (2.13) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.