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Finding the Third Proportional to 240,932 and 518,863

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Solution

The third proportional to 240,932 and 518,863 is: 1,117,405.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    240,932 : 518,863 = 518,863 : x
  2. Step 2: Convert to fraction form
    240,932/518,863 = 518,863/x
  3. Step 3: Cross multiply
    240,932x = 518,863 × 518,863
  4. Step 4: Simplify right side
    240,932x = 269,218,812,769
  5. Step 5: Solve for x
    x = 269,218,812,769/240,932
  6. Step 6: Final answer
    x = 1,117,405.79

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Why These Related Problems?

These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.