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Finding the Third Proportional to 240,405 and 366,963

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Solution

The third proportional to 240,405 and 366,963 is: 560,145.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    240,405 : 366,963 = 366,963 : x
  2. Step 2: Convert to fraction form
    240,405/366,963 = 366,963/x
  3. Step 3: Cross multiply
    240,405x = 366,963 × 366,963
  4. Step 4: Simplify right side
    240,405x = 134,661,843,369
  5. Step 5: Solve for x
    x = 134,661,843,369/240,405
  6. Step 6: Final answer
    x = 560,145.77

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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.