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Finding the Third Proportional to 305,954.25 and 662,757

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Solution

The third proportional to 305,954.25 and 662,757 is: 1,435,661.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    305,954.25 : 662,757 = 662,757 : x
  2. Step 2: Convert to fraction form
    305,954.25/662,757 = 662,757/x
  3. Step 3: Cross multiply
    305,954.25x = 662,757 × 662,757
  4. Step 4: Simplify right side
    305,954.25x = 439,246,841,049
  5. Step 5: Solve for x
    x = 439,246,841,049/305,954.25
  6. Step 6: Final answer
    x = 1,435,661.84

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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.