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Finding the Third Proportional to 306,483 and 649,827

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Solution

The third proportional to 306,483 and 649,827 is: 1,377,809.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    306,483 : 649,827 = 649,827 : x
  2. Step 2: Convert to fraction form
    306,483/649,827 = 649,827/x
  3. Step 3: Cross multiply
    306,483x = 649,827 × 649,827
  4. Step 4: Simplify right side
    306,483x = 422,275,129,929
  5. Step 5: Solve for x
    x = 422,275,129,929/306,483
  6. Step 6: Final answer
    x = 1,377,809.31

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Why These Related Problems?

These problems maintain the same ratio (2.12) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.