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Finding the Third Proportional to 282,794 and 414,687

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Solution

The third proportional to 282,794 and 414,687 is: 608,093.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    282,794 : 414,687 = 414,687 : x
  2. Step 2: Convert to fraction form
    282,794/414,687 = 414,687/x
  3. Step 3: Cross multiply
    282,794x = 414,687 × 414,687
  4. Step 4: Simplify right side
    282,794x = 171,965,307,969
  5. Step 5: Solve for x
    x = 171,965,307,969/282,794
  6. Step 6: Final answer
    x = 608,093.91

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Why These Related Problems?

These problems maintain the same ratio (1.47) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.