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Finding the Third Proportional to 340,961.25 and 511,441.75

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Solution

The third proportional to 340,961.25 and 511,441.75 is: 767,162.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    340,961.25 : 511,441.75 = 511,441.75 : x
  2. Step 2: Convert to fraction form
    340,961.25/511,441.75 = 511,441.75/x
  3. Step 3: Cross multiply
    340,961.25x = 511,441.75 × 511,441.75
  4. Step 4: Simplify right side
    340,961.25x = 261,572,663,643.06
  5. Step 5: Solve for x
    x = 261,572,663,643.06/340,961.25
  6. Step 6: Final answer
    x = 767,162.44

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.