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Finding the Third Proportional to 316,030 and 691,180

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Solution

The third proportional to 316,030 and 691,180 is: 1,511,659.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    316,030 : 691,180 = 691,180 : x
  2. Step 2: Convert to fraction form
    316,030/691,180 = 691,180/x
  3. Step 3: Cross multiply
    316,030x = 691,180 × 691,180
  4. Step 4: Simplify right side
    316,030x = 477,729,792,400
  5. Step 5: Solve for x
    x = 477,729,792,400/316,030
  6. Step 6: Final answer
    x = 1,511,659.63

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Why These Related Problems?

These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.