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Finding the Third Proportional to 279,030 and 605,627

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Solution

The third proportional to 279,030 and 605,627 is: 1,314,496.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    279,030 : 605,627 = 605,627 : x
  2. Step 2: Convert to fraction form
    279,030/605,627 = 605,627/x
  3. Step 3: Cross multiply
    279,030x = 605,627 × 605,627
  4. Step 4: Simplify right side
    279,030x = 366,784,063,129
  5. Step 5: Solve for x
    x = 366,784,063,129/279,030
  6. Step 6: Final answer
    x = 1,314,496.88

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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.