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Finding the Third Proportional to 341,270.25 and 734,057.25

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Solution

The third proportional to 341,270.25 and 734,057.25 is: 1,578,924.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    341,270.25 : 734,057.25 = 734,057.25 : x
  2. Step 2: Convert to fraction form
    341,270.25/734,057.25 = 734,057.25/x
  3. Step 3: Cross multiply
    341,270.25x = 734,057.25 × 734,057.25
  4. Step 4: Simplify right side
    341,270.25x = 538,840,046,277.56
  5. Step 5: Solve for x
    x = 538,840,046,277.56/341,270.25
  6. Step 6: Final answer
    x = 1,578,924.76

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Why These Related Problems?

These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.