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Finding the Third Proportional to 268,693.88 and 419,384.25

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Solution

The third proportional to 268,693.88 and 419,384.25 is: 654,585.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    268,693.88 : 419,384.25 = 419,384.25 : x
  2. Step 2: Convert to fraction form
    268,693.88/419,384.25 = 419,384.25/x
  3. Step 3: Cross multiply
    268,693.88x = 419,384.25 × 419,384.25
  4. Step 4: Simplify right side
    268,693.88x = 175,883,149,148.06
  5. Step 5: Solve for x
    x = 175,883,149,148.06/268,693.88
  6. Step 6: Final answer
    x = 654,585.63

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Why These Related Problems?

These problems maintain the same ratio (1.56) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.