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Finding the Third Proportional to 195,690 and 428,886

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Solution

The third proportional to 195,690 and 428,886 is: 939,972.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    195,690 : 428,886 = 428,886 : x
  2. Step 2: Convert to fraction form
    195,690/428,886 = 428,886/x
  3. Step 3: Cross multiply
    195,690x = 428,886 × 428,886
  4. Step 4: Simplify right side
    195,690x = 183,943,200,996
  5. Step 5: Solve for x
    x = 183,943,200,996/195,690
  6. Step 6: Final answer
    x = 939,972.41

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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.