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Finding the Third Proportional to 319,758 and 683,823

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Solution

The third proportional to 319,758 and 683,823 is: 1,462,399.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    319,758 : 683,823 = 683,823 : x
  2. Step 2: Convert to fraction form
    319,758/683,823 = 683,823/x
  3. Step 3: Cross multiply
    319,758x = 683,823 × 683,823
  4. Step 4: Simplify right side
    319,758x = 467,613,895,329
  5. Step 5: Solve for x
    x = 467,613,895,329/319,758
  6. Step 6: Final answer
    x = 1,462,399.36

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Why These Related Problems?

These problems maintain the same ratio (2.14) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.