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Finding the Third Proportional to 261,504 and 400,680

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Solution

The third proportional to 261,504 and 400,680 is: 613,927.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    261,504 : 400,680 = 400,680 : x
  2. Step 2: Convert to fraction form
    261,504/400,680 = 400,680/x
  3. Step 3: Cross multiply
    261,504x = 400,680 × 400,680
  4. Step 4: Simplify right side
    261,504x = 160,544,462,400
  5. Step 5: Solve for x
    x = 160,544,462,400/261,504
  6. Step 6: Final answer
    x = 613,927.37

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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.