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Finding the Third Proportional to 308,387 and 675,823

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Solution

The third proportional to 308,387 and 675,823 is: 1,481,050.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    308,387 : 675,823 = 675,823 : x
  2. Step 2: Convert to fraction form
    308,387/675,823 = 675,823/x
  3. Step 3: Cross multiply
    308,387x = 675,823 × 675,823
  4. Step 4: Simplify right side
    308,387x = 456,736,727,329
  5. Step 5: Solve for x
    x = 456,736,727,329/308,387
  6. Step 6: Final answer
    x = 1,481,050.52

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Why These Related Problems?

These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.