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Finding the Third Proportional to 240,415 and 366,979

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Solution

The third proportional to 240,415 and 366,979 is: 560,171.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    240,415 : 366,979 = 366,979 : x
  2. Step 2: Convert to fraction form
    240,415/366,979 = 366,979/x
  3. Step 3: Cross multiply
    240,415x = 366,979 × 366,979
  4. Step 4: Simplify right side
    240,415x = 134,673,586,441
  5. Step 5: Solve for x
    x = 134,673,586,441/240,415
  6. Step 6: Final answer
    x = 560,171.31

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Why These Related Problems?

These problems maintain the same ratio (1.53) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.