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Finding the Third Proportional to 308,389 and 675,827

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Solution

The third proportional to 308,389 and 675,827 is: 1,481,058.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    308,389 : 675,827 = 675,827 : x
  2. Step 2: Convert to fraction form
    308,389/675,827 = 675,827/x
  3. Step 3: Cross multiply
    308,389x = 675,827 × 675,827
  4. Step 4: Simplify right side
    308,389x = 456,742,133,929
  5. Step 5: Solve for x
    x = 456,742,133,929/308,389
  6. Step 6: Final answer
    x = 1,481,058.45

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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.